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Homotopy Fibrations With A Section After Looping
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Book Synopsis Homotopy Fibrations with a Section after Looping by : Stephen Theriault
Download or read book Homotopy Fibrations with a Section after Looping written by Stephen Theriault and published by American Mathematical Society. This book was released on 2024-08-19 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis The Strong K�nneth Theorem for Topological Periodic Cyclic Homology by : Andrew J. Blumberg
Download or read book The Strong K�nneth Theorem for Topological Periodic Cyclic Homology written by Andrew J. Blumberg and published by American Mathematical Society. This book was released on 2024-10-23 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis On the Nodal Set of Solutions to a Class of Nonlocal Parabolic Equations by : Alessandro Audrito
Download or read book On the Nodal Set of Solutions to a Class of Nonlocal Parabolic Equations written by Alessandro Audrito and published by American Mathematical Society. This book was released on 2024-10-23 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Symbolic Dynamics for Nonuniformly Hyperbolic Maps with Singularities in High Dimension by : Ermerson Araujo
Download or read book Symbolic Dynamics for Nonuniformly Hyperbolic Maps with Singularities in High Dimension written by Ermerson Araujo and published by American Mathematical Society. This book was released on 2024-10-23 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Amenability and Weak Containment for Actions of Locally Compact Groups on $C^*$-Algebras by : Alcides Buss
Download or read book Amenability and Weak Containment for Actions of Locally Compact Groups on $C^*$-Algebras written by Alcides Buss and published by American Mathematical Society. This book was released on 2024-10-23 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis The Further Chameleon Groups of Richard Thompson and Graham Higman: Automorphisms via Dynamics for the Higman-Thompson Groups $G_{n,r}$ by : C. Bleak
Download or read book The Further Chameleon Groups of Richard Thompson and Graham Higman: Automorphisms via Dynamics for the Higman-Thompson Groups $G_{n,r}$ written by C. Bleak and published by American Mathematical Society. This book was released on 2024-10-23 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Prandtl-Meyer Reflection Configurations, Transonic Shocks, and Free Boundary Problems by : Myoungjean Bae
Download or read book Prandtl-Meyer Reflection Configurations, Transonic Shocks, and Free Boundary Problems written by Myoungjean Bae and published by American Mathematical Society. This book was released on 2024-10-23 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Book Synopsis Handbook of Algebraic Topology by : I.M. James
Download or read book Handbook of Algebraic Topology written by I.M. James and published by Elsevier. This book was released on 1995-07-18 with total page 1336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics.
Book Synopsis Cohomological Methods in Homotopy Theory by : Jaume Aguade
Download or read book Cohomological Methods in Homotopy Theory written by Jaume Aguade and published by Birkhäuser. This book was released on 2012-12-06 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a collection of articles summarizing the state of knowledge in a large portion of modern homotopy theory. A call for articles was made on the occasion of an emphasis semester organized by the Centre de Recerca Matemtica in Bellaterra (Barcelona) in 1998. The main topics treated in the book include abstract features of stable and unstable homotopy, homotopical localizations, p-compact groups, H-spaces, classifying spaces for proper actions, cohomology of discrete groups, K-theory and other generalized cohomology theories, configuration spaces, and Lusternik-Schnirelmann category. The book is addressed to all mathematicians interested in homotopy theory and in geometric aspects of group theory. New research directions in topology are highlighted. Moreover, this informative and educational book serves as a welcome reference for many new results and recent methods.
Book Synopsis Lusternik-Schnirelmann Category by : Octavian Cornea
Download or read book Lusternik-Schnirelmann Category written by Octavian Cornea and published by American Mathematical Soc.. This book was released on 2003 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: ''Lusternik-Schnirelmann category is like a Picasso painting. Looking at category from different perspectives produces completely different impressions of category's beauty and applicability.'' --from the Introduction Lusternik-Schnirelmann category is a subject with ties to both algebraic topology and dynamical systems. The authors take LS-category as the central theme, and then develop topics in topology and dynamics around it. Included are exercises and many examples. The book presents the material in a rich, expository style. The book provides a unified approach to LS-category, including foundational material on homotopy theoretic aspects, the Lusternik-Schnirelmann theorem on critical points, and more advanced topics such as Hopf invariants, the construction of functions with few critical points, connections with symplectic geometry, the complexity of algorithms, and category of $3$-manifolds. This is the first book to synthesize these topics. It takes readers from the very basics of the subject to the state of the art. Prerequisites are few: two semesters of algebraic topology and, perhaps, differential topology. It is suitable for graduate students and researchers interested
Book Synopsis A Concise Course in Algebraic Topology by : J. P. May
Download or read book A Concise Course in Algebraic Topology written by J. P. May and published by University of Chicago Press. This book was released on 1999-09 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry, and Lie groups. This book provides a detailed treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology over the past several decades, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology that are normally omitted from introductory texts, and the book concludes with a list of suggested readings for those interested in delving further into the field.
Book Synopsis Cubical Homotopy Theory by : Brian A. Munson
Download or read book Cubical Homotopy Theory written by Brian A. Munson and published by Cambridge University Press. This book was released on 2015-10-06 with total page 649 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern, example-driven introduction to cubical diagrams and related topics such as homotopy limits and cosimplicial spaces.
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.
Book Synopsis Simplicial Homotopy Theory by : Paul G. Goerss
Download or read book Simplicial Homotopy Theory written by Paul G. Goerss and published by Springer Science & Business Media. This book was released on 2009-12-05 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic theory. With the development of Quillen's concept of a closed model category and, in particular, a simplicial model category, this collection of methods has become the primary way to describe non-abelian homological algebra and to address homotopy-theoretical issues in a variety of fields, including algebraic K-theory. This book supplies a modern exposition of these ideas, emphasizing model category theoretical techniques. Discussed here are the homotopy theory of simplicial sets, and other basic topics such as simplicial groups, Postnikov towers, and bisimplicial sets. The more advanced material includes homotopy limits and colimits, localization with respect to a map and with respect to a homology theory, cosimplicial spaces, and homotopy coherence. Interspersed throughout are many results and ideas well-known to experts, but uncollected in the literature. Intended for second-year graduate students and beyond, this book introduces many of the basic tools of modern homotopy theory. An extensive background in topology is not assumed. Reviews: "... a book filling an obvious gap in the literature and the authors have done an excellent job on it. No monograph or expository paper has been published on this topic in the last twenty-eight years." - Analele Universitatii din Timisoara "... is clearly presented and a brief summary preceding every chapter is useful to the reader. The book should prove enlightening to a broad range of readers including prospective students and researchers who want to apply simplicial techniques for whatever reason." - Zentralblatt MATH "... they succeed. The book is an excellent account of simplicial homotopy theory from a modern point of view [...] The book is well written. [...] The book can be highly recommended to anybody who wants to learn and to apply simplicial techniques and/or the theory of (simplicial) closed model categories." - Mathematical Reviews
Book Synopsis Classifying Spaces and Fibrations by : J. Peter May
Download or read book Classifying Spaces and Fibrations written by J. Peter May and published by American Mathematical Soc.. This book was released on 1975 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basic theory of fibrations is generalized to a context in which fibres, and maps on fibres, are constrained to lie in any preassigned category of spaces [script capital] F. Then axioms are placed on [script capital] F to allow the development of a theory of associated principal fibrations and, under several choices of additional hypotheses on [script capital] F, a classification theorem is proven for such fibrations.
Book Synopsis The Homology of Iterated Loop Spaces by : F. R. Cohen
Download or read book The Homology of Iterated Loop Spaces written by F. R. Cohen and published by Springer. This book was released on 2007-01-05 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Rational Homotopy Theory by : Yves Felix
Download or read book Rational Homotopy Theory written by Yves Felix and published by Springer Science & Business Media. This book was released on 2001 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a long awaited book on rational homotopy theory which contains all the main theorems with complete proofs, and more elementary proofs for many results that were proved ten or fifteen years ago. The authors added a frist section on classical algebraic topology to make the book accessible to students with only little background in algebraic topology.
