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Author : Hans J. Baues
Publisher : American Mathematical Soc.
ISBN 13 : 0821822306
Total Pages : 171 pages
Book Rating : 4.8/5 (218 download)
Download or read book Geometry of Loop Spaces and the Cobar Construction written by Hans J. Baues and published by American Mathematical Soc.. This book was released on 1980 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hans Joachim Baues
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (11 download)
Download or read book Geometry of Loop Spaces and the Cobar Construction written by Hans Joachim Baues and published by . This book was released on 1980 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I.M. James
Publisher : Elsevier
ISBN 13 : 0080532985
Total Pages : 1336 pages
Book Rating : 4.0/5 (85 download)
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.
Author : Justin R. Smith
Publisher : American Mathematical Soc.
ISBN 13 : 0821825887
Total Pages : 141 pages
Book Rating : 4.8/5 (218 download)
Download or read book Iterating the Cobar Construction written by Justin R. Smith and published by American Mathematical Soc.. This book was released on 1994 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a new topological invariant called the m-structure, which incorporates all information contained in the canonical coproduct and the Steenrod operations. Given a chain complex equipped with an m-structure, Smith shows that its cobar construction also has a natural m-structure. This derived m-structure of the cobar construction corresponds to the m-structure of the loop space of the original space under the map that carries the cobar construction to the loop space. This result allows one to form iterated cobar constructions which Smith shows are homotopy equivalent to iterated loop spaces. These results are applied to the computation of the cohomology algebra structure of total spaces of fibrations.
Author : Shiing-Shen Chern
Publisher : World Scientific
ISBN 13 : 9789812777416
Total Pages : 278 pages
Book Rating : 4.7/5 (774 download)
Download or read book Contemporary Trends in Algebraic Geometry and Algebraic Topology written by Shiing-Shen Chern and published by World Scientific. This book was released on 2002 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Wei-Liang Chow and Kuo-Tsai Chen Memorial Conference was proposed and held by Prof S S Chern in Nankai Institute of Mathematics. It was devoted to memorializing those two outstanding and original Chinese mathematicians who had made significant contributions to algebraic geometry and algebraic topology, respectively. It also provided a forum for leading mathematicians to expound and discuss their views on new ideas in these fields, as well as trends in 21st Century mathematics. About 100 mathematicians participated in the conference, including Sir Michael Atiyah, Jacob Palis, Phillip Griffiths, David Eisenbud, Philippe Tondeur, Yujiro Kawamata, Tian Gang, etc.This invaluable volume contains the selected papers presented at the conference. The topics include canonical maps of Gorenstein 3-folds, fundamental groups of algebraic curves, Chen''s interated integrals, algebraic fiber spaces, and others.
Author : Frederic Eyssette
Publisher : Springer Science & Business Media
ISBN 13 : 1461227526
Total Pages : 334 pages
Book Rating : 4.4/5 (612 download)
Download or read book Computational Algebraic Geometry written by Frederic Eyssette and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory and practice of computation in algebraic geometry and related domains, from a mathematical point of view, has generated an increasing interest both for its rich theoretical possibilities and its usefulness in applications in science and engineering. In fact, it is one of the master keys for future significant improvement of the computer algebra systems (e.g., Reduce, Macsyma, Maple, Mathematica, Axiom, Macaulay, etc.) that have become such useful tools for many scientists in a variety of disciplines. The major themes covered in this volume, arising from papers p- sented at the conference MEGA-92 were: - Effective methods and complexity issues in commutative algebra, projective geometry, real geometry, and algebraic number theory - Algebra-geometric methods in algebraic computing and applica tions. MEGA-92 was the second of a new series of European conferences on the general theme of Effective Methods in Algebraic Geometry. It was held in Nice, France, on April 21-25, 1992 and built on the themes presented at MEGA-90 (Livomo, Italy, April 17-21, 1990). The next conference - MEGA-94 - will be held in Santander, Spain in the spring of 1994. The Organizing committee that initiatiod and supervises this bi enniel conference consists of A. Conte (Torino), J.H. Davenport (Bath), A. Galligo (Nice), D. Yu. Grigoriev (Petersburg), J. Heintz (Buenos Aires), W. Lassner (Leipzig), D. Lazard (paris), H.M. MOller (Hagen), T. Mora (Genova), M. Pohst (DUsseldort), T. Recio (Santander), J.J.
Author : J.P. May
Publisher : Springer
ISBN 13 : 3540376038
Total Pages : 184 pages
Book Rating : 4.5/5 (43 download)
Download or read book The Geometry of Iterated Loop Spaces written by J.P. May and published by Springer. This book was released on 2006-11-15 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Rolf Schön
Publisher : American Mathematical Soc.
ISBN 13 : 0821825224
Total Pages : 63 pages
Book Rating : 4.8/5 (218 download)
Download or read book Effective Algebraic Topology written by Rolf Schön and published by American Mathematical Soc.. This book was released on 1991 with total page 63 pages. Available in PDF, EPUB and Kindle. Book excerpt: does not need QB copy
Author : Jean-Louis Loday
Publisher : American Mathematical Soc.
ISBN 13 : 0821805134
Total Pages : pages
Book Rating : 4.8/5 (218 download)
Download or read book Operads: Proceedings of Renaissance Conferences written by Jean-Louis Loday and published by American Mathematical Soc.. This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Martin Majewski
Publisher : American Mathematical Soc.
ISBN 13 : 0821819208
Total Pages : 175 pages
Book Rating : 4.8/5 (218 download)
Download or read book Rational Homotopical Models and Uniqueness written by Martin Majewski and published by American Mathematical Soc.. This book was released on 2000 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of this paper is to prove the following conjecture of Baues and Lemaire: the differential graded Lie Tlgebra associated with the Sullivan model of a space is homotopy equivalent to its Quillen model. In addition we show the same for the cellular Lie algebra model which we build from the simplicial analog of the classical Adams-Hilton model. It turns out that this cellular Lie algebra model is one link in a chain of models connecting the models of Quillen and Sullivan.The key result which makes all this possible is Anick's correspondence between differential graded Lie algebras and Hopf algebras up to homotopy. In addition we show that the Quillen model is a rational homotopical equivalence, and we conclude the same for the other models using our main result. Theconstruction of the three models is given in detail. The background from homotopy theory, differential algebra, and algebra is presented in great generality.
Author : Hans J. Baues
Publisher : Cambridge University Press
ISBN 13 : 0521333768
Total Pages : 490 pages
Book Rating : 4.5/5 (213 download)
Download or read book Algebraic Homotopy written by Hans J. Baues and published by Cambridge University Press. This book was released on 1989-02-16 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a general outlook on homotopy theory; fundamental concepts, such as homotopy groups and spectral sequences, are developed from a few axioms and are thus available in a broad variety of contexts. Many examples and applications in topology and algebra are discussed, including an introduction to rational homotopy theory in terms of both differential Lie algebras and De Rham algebras. The author describes powerful tools for homotopy classification problems, particularly for the classification of homotopy types and for the computation of the group homotopy equivalences. Applications and examples of such computations are given, including when the fundamental group is non-trivial. Moreover, the deep connection between the homotopy classification problems and the cohomology theory of small categories is demonstrated. The prerequisites of the book are few: elementary topology and algebra. Consequently, this account will be valuable for non-specialists and experts alike. It is an important supplement to the standard presentations of algebraic topology, homotopy theory, category theory and homological algebra.
Author : William Joseph Haboush
Publisher : American Mathematical Soc.
ISBN 13 : 0821815415
Total Pages : 429 pages
Book Rating : 4.8/5 (218 download)
Download or read book Algebraic Groups and Their Generalizations: Quantum and Infinite-Dimensional Methods written by William Joseph Haboush and published by American Mathematical Soc.. This book was released on 1994 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a research institute held at Pennsylvania State University, July 1991, focusing on quantum and infinite-dimensional methods of algebraic groups. Topics include perverse sheaves, finite Chevalley groups, the general theory of algebraic groups, representations, invariant theory, general
Author : Jesus De Loera
Publisher : Springer Science & Business Media
ISBN 13 : 3642129714
Total Pages : 547 pages
Book Rating : 4.6/5 (421 download)
Download or read book Triangulations written by Jesus De Loera and published by Springer Science & Business Media. This book was released on 2010-08-16 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: Triangulations presents the first comprehensive treatment of the theory of secondary polytopes and related topics. The text discusses the geometric structure behind the algorithms and shows new emerging applications, including hundreds of illustrations, examples, and exercises.
Author : James D. Stasheff
Publisher : American Mathematical Soc.
ISBN 13 : 082180913X
Total Pages : 321 pages
Book Rating : 4.8/5 (218 download)
Download or read book Higher Homotopy Structures in Topology and Mathematical Physics written by James D. Stasheff and published by American Mathematical Soc.. This book was released on 1999 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the work of Stasheff and Sugawara in the 1960s on recognition of loop space structures on $H$-spaces, the notion of higher homotopies has grown to be a fundamental organizing principle in homotopy theory, differential graded homological algebra and even mathematical physics. This book presents the proceedings from a conference held on the occasion of Stasheff's 60th birthday at Vassar in June 1996. It offers a collection of very high quality papers and includes some fundamental essays on topics that open new areas. It's features include: accessible to a broad audience interested in mathematics and physics; offers a comprehensive overview of Stasheff's work; and, contains papers on very current research topics, including operads, combinatorial polyhedra and moduli spaces.
Author : Hans J. Baues
Publisher : Oxford University Press
ISBN 13 : 9780198514824
Total Pages : 524 pages
Book Rating : 4.5/5 (148 download)
Download or read book Homotopy Type and Homology written by Hans J. Baues and published by Oxford University Press. This book was released on 1996 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph represents an attempt to classify homotopy types of simply connected CW-complexes. It provides methods and examples of explicit homotopy classifications, and includes applications to the classification of manifolds.
Author : Folkert Müller-Hoissen
Publisher : Springer Science & Business Media
ISBN 13 : 3034804059
Total Pages : 446 pages
Book Rating : 4.0/5 (348 download)
Download or read book Associahedra, Tamari Lattices and Related Structures written by Folkert Müller-Hoissen and published by Springer Science & Business Media. This book was released on 2012-07-13 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tamari lattices originated from weakenings or reinterpretations of the familar associativity law. This has been the subject of Dov Tamari's thesis at the Sorbonne in Paris in 1951 and the central theme of his subsequent mathematical work. Tamari lattices can be realized in terms of polytopes called associahedra, which in fact also appeared first in Tamari's thesis. By now these beautiful structures have made their appearance in many different areas of pure and applied mathematics, such as algebra, combinatorics, computer science, category theory, geometry, topology, and also in physics. Their interdisciplinary nature provides much fascination and value. On the occasion of Dov Tamari's centennial birthday, this book provides an introduction to topical research related to Tamari's work and ideas. Most of the articles collected in it are written in a way accessible to a wide audience of students and researchers in mathematics and mathematical physics and are accompanied by high quality illustrations.
Author : Mamoru Mimura
Publisher : Springer
ISBN 13 : 3540469389
Total Pages : 246 pages
Book Rating : 4.5/5 (44 download)
Download or read book Homotopy Theory and Related Topics written by Mamoru Mimura and published by Springer. This book was released on 2006-11-14 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
