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Author: Stephen Theriault
Publisher: American Mathematical Society
ISBN: 1470470985
Category : Mathematics
Languages : en
Pages : 114
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Author: Stephen Theriault
Publisher: American Mathematical Society
ISBN: 1470470985
Category : Mathematics
Languages : en
Pages : 114
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Book Description
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Author: J. P. May
Publisher: University of Chicago Press
ISBN: 9780226511832
Category : Mathematics
Languages : en
Pages : 262
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Book Description
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.
Author: J. Peter May
Publisher: American Mathematical Soc.
ISBN: 0821818554
Category : Classifying spaces
Languages : en
Pages : 116
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Book Description
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.
Author: Brian A. Munson
Publisher: Cambridge University Press
ISBN: 1107030250
Category : Mathematics
Languages : en
Pages : 649
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Book Description
A modern, example-driven introduction to cubical diagrams and related topics such as homotopy limits and cosimplicial spaces.
Author: Yves Felix
Publisher: Springer Science & Business Media
ISBN: 0387950680
Category : Mathematics
Languages : en
Pages : 589
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Book Description
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.
Author: Grzegorz Banaszak
Publisher: American Mathematical Soc.
ISBN: 0821805118
Category : Mathematics
Languages : en
Pages : 232
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Book Description
This book contains proceedings of the research conference on algebraic K-theory which took place in Poznan, Poland in September 1995. The conference concluded the activity of the algebraic K-theory seminar held at the Adam Mickiewicz University in the academic year 1994-1995. Talks at the conference covered a wide range of current research activities in algebraic K-theory. In particular, the following topics were covered * K-theory of fields and rings of integers * K-theory of elliptic and modular curves * Theory of motives, motivic cohomology, Beilinson conjectures * algebraic K-theory of topological spaces, topological Hochschild homology and cyclic homology. With contributions by leading experts in the field, this book provides a look at the state of current research in algebraic K-theory.
Author: I.M. James
Publisher: Elsevier
ISBN: 0080532985
Category : Mathematics
Languages : en
Pages : 1336
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Book Description
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: Jaume Aguade
Publisher: Birkhäuser
ISBN: 3034883129
Category : Mathematics
Languages : en
Pages : 413
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Book Description
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.
Author: Alcides Buss
Publisher: American Mathematical Society
ISBN: 1470471523
Category : Mathematics
Languages : en
Pages : 100
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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1270
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