Prospects In Topology Am 138 Volume 138

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Prospects in Topology (AM-138), Volume 138

Author : Frank Quinn
Publisher : Princeton University Press
ISBN 13 : 1400882583
Total Pages : 340 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Prospects in Topology (AM-138), Volume 138 by : Frank Quinn

Download or read book Prospects in Topology (AM-138), Volume 138 written by Frank Quinn and published by Princeton University Press. This book was released on 2016-03-02 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection brings together influential papers by mathematicians exploring the research frontiers of topology, one of the most important developments of modern mathematics. The papers cover a wide range of topological specialties, including tools for the analysis of group actions on manifolds, calculations of algebraic K-theory, a result on analytic structures on Lie group actions, a presentation of the significance of Dirac operators in smoothing theory, a discussion of the stable topology of 4-manifolds, an answer to the famous question about symmetries of simply connected manifolds, and a fresh perspective on the topological classification of linear transformations. The contributors include A. Adem, A. H. Assadi, M. Bökstedt, S. E. Cappell, R. Charney, M. W. Davis, P. J. Eccles, M. H. Freedman, I. Hambleton, J. C. Hausmann, S. Illman, G. Katz, M. Kreck, W. Lück, I. Madsen, R. J. Milgram, J. Morava, E. K. Pedersen, V. Puppe, F. Quinn, A. Ranicki, J. L. Shaneson, D. Sullivan, P. Teichner, Z. Wang, and S. Weinberger.

Prospects in Topology

Author : Frank Quinn
Publisher : Princeton University Press
ISBN 13 : 9780691027289
Total Pages : 364 pages
Book Rating : 4.0/5 (272 download)

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Book Synopsis Prospects in Topology by : Frank Quinn

Download or read book Prospects in Topology written by Frank Quinn and published by Princeton University Press. This book was released on 1995-12-31 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection brings together influential papers by mathematicians exploring the research frontiers of topology, one of the most important developments of modern mathematics. The papers cover a wide range of topological specialties, including tools for the analysis of group actions on manifolds, calculations of algebraic K-theory, a result on analytic structures on Lie group actions, a presentation of the significance of Dirac operators in smoothing theory, a discussion of the stable topology of 4-manifolds, an answer to the famous question about symmetries of simply connected manifolds, and a fresh perspective on the topological classification of linear transformations. The contributors include A. Adem, A. H. Assadi, M. Bökstedt, S. E. Cappell, R. Charney, M. W. Davis, P. J. Eccles, M. H. Freedman, I. Hambleton, J. C. Hausmann, S. Illman, G. Katz, M. Kreck, W. Lück, I. Madsen, R. J. Milgram, J. Morava, E. K. Pedersen, V. Puppe, F. Quinn, A. Ranicki, J. L. Shaneson, D. Sullivan, P. Teichner, Z. Wang, and S. Weinberger.

Surveys on Surgery Theory (AM-149), Volume 2

Author : Sylvain Cappell
Publisher : Princeton University Press
ISBN 13 : 1400865212
Total Pages : 446 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Surveys on Surgery Theory (AM-149), Volume 2 by : Sylvain Cappell

Download or read book Surveys on Surgery Theory (AM-149), Volume 2 written by Sylvain Cappell and published by Princeton University Press. This book was released on 2014-09-08 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. The sixtieth birthday (on December 14, 1996) of C.T.C. Wall, a leading member of the subject's founding generation, led the editors of this volume to reflect on the extraordinary accomplishments of surgery theory as well as its current enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source surveying surgery theory and its applications. Because no one person could write such a survey, the editors asked a variety of experts to report on the areas of current interest. This is the second of two volumes resulting from that collective effort. It will be useful to topologists, to other interested researchers, and to advanced students. The topics covered include current applications of surgery, Wall's finiteness obstruction, algebraic surgery, automorphisms and embeddings of manifolds, surgery theoretic methods for the study of group actions and stratified spaces, metrics of positive scalar curvature, and surgery in dimension four. In addition to the editors, the contributors are S. Ferry, M. Weiss, B. Williams, T. Goodwillie, J. Klein, S. Weinberger, B. Hughes, S. Stolz, R. Kirby, L. Taylor, and F. Quinn.

The Structure and Stability of Persistence Modules

Author : Frédéric Chazal
Publisher : Springer
ISBN 13 : 3319425455
Total Pages : 123 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis The Structure and Stability of Persistence Modules by : Frédéric Chazal

Download or read book The Structure and Stability of Persistence Modules written by Frédéric Chazal and published by Springer. This book was released on 2016-10-08 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive treatment of the theory of persistence modules over the real line. It presents a set of mathematical tools to analyse the structure and to establish the stability of such modules, providing a sound mathematical framework for the study of persistence diagrams. Completely self-contained, this brief introduces the notion of persistence measure and makes extensive use of a new calculus of quiver representations to facilitate explicit computations. Appealing to both beginners and experts in the subject, The Structure and Stability of Persistence Modules provides a purely algebraic presentation of persistence, and thus complements the existing literature, which focuses mainly on topological and algorithmic aspects.

The Local Structure of Algebraic K-Theory

Author : Bjørn Ian Dundas
Publisher : Springer Science & Business Media
ISBN 13 : 1447143930
Total Pages : 447 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis The Local Structure of Algebraic K-Theory by : Bjørn Ian Dundas

Download or read book The Local Structure of Algebraic K-Theory written by Bjørn Ian Dundas and published by Springer Science & Business Media. This book was released on 2012-09-06 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic K-theory encodes important invariants for several mathematical disciplines, spanning from geometric topology and functional analysis to number theory and algebraic geometry. As is commonly encountered, this powerful mathematical object is very hard to calculate. Apart from Quillen's calculations of finite fields and Suslin's calculation of algebraically closed fields, few complete calculations were available before the discovery of homological invariants offered by motivic cohomology and topological cyclic homology. This book covers the connection between algebraic K-theory and Bökstedt, Hsiang and Madsen's topological cyclic homology and proves that the difference between the theories are ‘locally constant’. The usefulness of this theorem stems from being more accessible for calculations than K-theory, and hence a single calculation of K-theory can be used with homological calculations to obtain a host of ‘nearby’ calculations in K-theory. For instance, Quillen's calculation of the K-theory of finite fields gives rise to Hesselholt and Madsen's calculations for local fields, and Voevodsky's calculations for the integers give insight into the diffeomorphisms of manifolds. In addition to the proof of the full integral version of the local correspondence between K-theory and topological cyclic homology, the book provides an introduction to the necessary background in algebraic K-theory and highly structured homotopy theory; collecting all necessary tools into one common framework. It relies on simplicial techniques, and contains an appendix summarizing the methods widely used in the field. The book is intended for graduate students and scientists interested in algebraic K-theory, and presupposes a basic knowledge of algebraic topology.

Group Representations: Cohomology, Group Actions and Topology

Author : Alejandro Adem
Publisher : American Mathematical Soc.
ISBN 13 : 0821806580
Total Pages : 549 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Group Representations: Cohomology, Group Actions and Topology by : Alejandro Adem

Download or read book Group Representations: Cohomology, Group Actions and Topology written by Alejandro Adem and published by American Mathematical Soc.. This book was released on 1998 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume combines contributions in topology and representation theory that reflect the increasingly vigorous interactions between these areas. Topics such as group theory, homotopy theory, cohomology of groups, and modular representations are covered. All papers have been carefully refereed and offer lasting value.

Handbook of Geometric Topology

Author : R.B. Sher
Publisher : Elsevier
ISBN 13 : 0080532853
Total Pages : 1145 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Geometric Topology by : R.B. Sher

Download or read book Handbook of Geometric Topology written by R.B. Sher and published by Elsevier. This book was released on 2001-12-20 with total page 1145 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume, which is intended both as an introduction to the subject and as a wide ranging resouce for those already grounded in it, consists of 21 expository surveys written by leading experts and covering active areas of current research. They provide the reader with an up-to-date overview of this flourishing branch of mathematics.

Statistical Rock Physics

Author : Gabor Korvin
Publisher : Springer Nature
ISBN 13 : 3031467000
Total Pages : 541 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Statistical Rock Physics by : Gabor Korvin

Download or read book Statistical Rock Physics written by Gabor Korvin and published by Springer Nature. This book was released on with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Surveys on Surgery Theory (AM-145), Volume 1

Author : Sylvain Cappell
Publisher : Princeton University Press
ISBN 13 : 1400865190
Total Pages : 448 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Surveys on Surgery Theory (AM-145), Volume 1 by : Sylvain Cappell

Download or read book Surveys on Surgery Theory (AM-145), Volume 1 written by Sylvain Cappell and published by Princeton University Press. This book was released on 2014-09-08 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. There have been some extraordinary accomplishments in that time, which have led to enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source that surveys surgery theory and its applications. Indeed, no one person could write such a survey. The sixtieth birthday of C. T. C. Wall, one of the leaders of the founding generation of surgery theory, provided an opportunity to rectify the situation and produce a comprehensive book on the subject. Experts have written state-of-the-art reports that will be of broad interest to all those interested in topology, not only graduate students and mathematicians, but mathematical physicists as well. Contributors include J. Milnor, S. Novikov, W. Browder, T. Lance, E. Brown, M. Kreck, J. Klein, M. Davis, J. Davis, I. Hambleton, L. Taylor, C. Stark, E. Pedersen, W. Mio, J. Levine, K. Orr, J. Roe, J. Milgram, and C. Thomas.

Representations and Cohomology: Volume 2, Cohomology of Groups and Modules

Author : D. J. Benson
Publisher : Cambridge University Press
ISBN 13 : 9780521636520
Total Pages : 296 pages
Book Rating : 4.6/5 (365 download)

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Book Synopsis Representations and Cohomology: Volume 2, Cohomology of Groups and Modules by : D. J. Benson

Download or read book Representations and Cohomology: Volume 2, Cohomology of Groups and Modules written by D. J. Benson and published by Cambridge University Press. This book was released on 1991-08-22 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: A further introduction to modern developments in the representation theory of finite groups and associative algebras.

Additive Manufacturing, Second Edition

Author : Amit Bandyopadhyay
Publisher : CRC Press
ISBN 13 : 0429881010
Total Pages : 410 pages
Book Rating : 4.4/5 (298 download)

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Book Synopsis Additive Manufacturing, Second Edition by : Amit Bandyopadhyay

Download or read book Additive Manufacturing, Second Edition written by Amit Bandyopadhyay and published by CRC Press. This book was released on 2019-10-16 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of additive manufacturing is growing dynamically as the interest is persisting from manufacturing sector, including other sectors as well. Conceptually, additive manufacturing is a way to build parts without using any part-specific tooling or dies from the computer-aided design (CAD) file of the part. Second edition of Additive Manufacturing highlights the latest advancements in the field, taking an application oriented approach. It includes new material on traditional polymer based rapid prototyping technologies, additive manufacturing of metals and alloys including related design issues. Each chapter comes with suggested reading, questions for instructors and PowerPoint slides.

C*-Algebra Extensions and K-Homology. (AM-95), Volume 95

Author : Ronald G. Douglas
Publisher : Princeton University Press
ISBN 13 : 1400881463
Total Pages : 96 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis C*-Algebra Extensions and K-Homology. (AM-95), Volume 95 by : Ronald G. Douglas

Download or read book C*-Algebra Extensions and K-Homology. (AM-95), Volume 95 written by Ronald G. Douglas and published by Princeton University Press. This book was released on 2016-03-02 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in diverse areas of mathematics suggest the study of a certain class of extensions of C*-algebras. Here, Ronald Douglas uses methods from homological algebra to study this collection of extensions. He first shows that equivalence classes of the extensions of the compact metrizable space X form an abelian group Ext (X). Second, he shows that the correspondence X ⃗ Ext (X) defines a homotopy invariant covariant functor which can then be used to define a generalized homology theory. Establishing the periodicity of order two, the author shows, following Atiyah, that a concrete realization of K-homology is obtained.

Homotopy Invariant Algebraic Structures

Author : Jean-Pierre Meyer
Publisher : American Mathematical Soc.
ISBN 13 : 082181057X
Total Pages : 392 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Homotopy Invariant Algebraic Structures by : Jean-Pierre Meyer

Download or read book Homotopy Invariant Algebraic Structures written by Jean-Pierre Meyer and published by American Mathematical Soc.. This book was released on 1999 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the conference held in honor of J. Michael Boardman's 60th birthday. It brings into print his classic work on conditionally convergent spectral sequences. Over the past 30 years, it has become evident that some of the deepest questions in algebra are best understood against the background of homotopy theory. Boardman and Vogt's theory of homotopy-theoretic algebraic structures and the theory of spectra, for example, were two benchmark breakthroughs underlying the development of algebraic $K$-theory and the recent advances in the theory of motives. The volume begins with short notes by Mac Lane, May, Stasheff, and others on the early and recent history of the subject. But the bulk of the volume consists of research papers on topics that have been strongly influenced by Boardman's work. Articles give readers a vivid sense of the current state of the theory of "homotopy-invariant algebraic structures". Also included are two major foundational papers by Goerss and Strickland on applications of methods of algebra (i.e., Dieudonné modules and formal schemes) to problems of topology. Boardman is known for the depth and wit of his ideas. This volume is intended to reflect and to celebrate those fine characteristics.

Translational Autoimmunity, Volume 2

Author : Nima Rezaei
Publisher : Academic Press
ISBN 13 : 0323859755
Total Pages : 488 pages
Book Rating : 4.3/5 (238 download)

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Book Synopsis Translational Autoimmunity, Volume 2 by : Nima Rezaei

Download or read book Translational Autoimmunity, Volume 2 written by Nima Rezaei and published by Academic Press. This book was released on 2022-01-05 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translational Autoimmunity: Treatment of Autoimmune Diseases, Volume Two in the Translational Immunology series, focuses on advances in therapeutic modalities in autoimmune diseases. Efficacy and safety of not only the current biologic therapies, but also novel drug targets are discussed. Therapeutic targeting of B regulatory cells, T regulatory cells, as well as the immunomodulation effects of nanoparticles and organisms are also covered, along with our understanding and future challenges of prognostic significance of treatments in autoimmune diseases. Covers the clinical aspects and treatment of autoimmunite diseases Meets the needs of basic scientists, clinicians and translational scientists and industry partners Mentions each and every key concept after background is drawn Supported by a systematic appraisal of the most recent evidence Helps students at all academic levels, but is also applicable to scientists who work with autoimmunity

Nonlinear Analysis, Differential Equations, and Applications

Author : Themistocles M. Rassias
Publisher : Springer Nature
ISBN 13 : 3030725634
Total Pages : 791 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Nonlinear Analysis, Differential Equations, and Applications by : Themistocles M. Rassias

Download or read book Nonlinear Analysis, Differential Equations, and Applications written by Themistocles M. Rassias and published by Springer Nature. This book was released on 2021-08-20 with total page 791 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume showcases research and survey papers devoted to a broad range of topics on functional equations, ordinary differential equations, partial differential equations, stochastic differential equations, optimization theory, network games, generalized Nash equilibria, critical point theory, calculus of variations, nonlinear functional analysis, convex analysis, variational inequalities, topology, global differential geometry, curvature flows, perturbation theory, numerical analysis, mathematical finance and a variety of applications in interdisciplinary topics. Chapters in this volume investigate compound superquadratic functions, the Hyers–Ulam Stability of functional equations, edge degenerate pseudo-hyperbolic equations, Kirchhoff wave equation, BMO norms of operators on differential forms, equilibrium points of the perturbed R3BP, complex zeros of solutions to second order differential equations, a higher-order Ginzburg–Landau-type equation, multi-symplectic numerical schemes for differential equations, the Erdős-Rényi network model, strongly m-convex functions, higher order strongly generalized convex functions, factorization and solution of second order differential equations, generalized topologically open sets in relator spaces, graphical mean curvature flow, critical point theory in infinite dimensional spaces using the Leray-Schauder index, non-radial solutions of a supercritical equation in expanding domains, the semi-discrete method for the approximation of the solution of stochastic differential equations, homotopic metric-interval L-contractions in gauge spaces, Rhoades contractions theory, network centrality measures, the Radon transform in three space dimensions via plane integration and applications in positron emission tomography boundary perturbations on medical monitoring and imaging techniques, the KdV-B equation and biomedical applications.

Biomedicine

Author : Chao Lin
Publisher : BoD – Books on Demand
ISBN 13 : 9535103520
Total Pages : 216 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Biomedicine by : Chao Lin

Download or read book Biomedicine written by Chao Lin and published by BoD – Books on Demand. This book was released on 2012-03-21 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive and systematic scientific researches in cell biology and molecular biology have promoted the evolution of traditional medicine. Scientists are now able to interpret a few perplexed medical difficulties with the emphasis on molecular levels. This book focuses on frontier progress in modern biomedical science dealing with regenerative medicine, gene medicine, nanobiomedicine, and medical devices. Each chapter is intently chosen and written by professional experts in the field of biomedical science. Biomedicine is a valuable guide for the readers to become aware of current advancement in rapidly moving field of biomedicine.

Combinatorial Algebraic Topology

Author : Dimitry Kozlov
Publisher : Springer Science & Business Media
ISBN 13 : 9783540730514
Total Pages : 416 pages
Book Rating : 4.7/5 (35 download)

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Book Synopsis Combinatorial Algebraic Topology by : Dimitry Kozlov

Download or read book Combinatorial Algebraic Topology written by Dimitry Kozlov and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first comprehensive treatment of combinatorial algebraic topology in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of combinatorial algebraic topology. Although applications are sprinkled throughout the second part, they are principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms.