Homotopy Commutativity of H-spaces PDF Download
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Author: Francis Dudley Williams
Publisher:
ISBN:
Category : Homotopy theory
Languages : en
Pages : 132
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Book Description
Author: Francis Dudley Williams
Publisher:
ISBN:
Category : Homotopy theory
Languages : en
Pages : 132
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Book Description
Author: Roy René Douglas
Publisher:
ISBN:
Category :
Languages : en
Pages : 110
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Book Description
Author: Michael Slack
Publisher: American Mathematical Soc.
ISBN: 0821825143
Category : Dyer-Lashof operations
Languages : en
Pages : 125
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Book Description
It is shown that a 2-connected homotopy commutative H-space with associative mod 2 homology ring and finitely generated mod 2 cohomology ring has acyclic mod 2 cohomology. This implies that a connected, homotopy commutative, homotopy associative H-space with finitely generated mod 2 cohomology ring is mod 2 homotopy equivalent to a product of Eilenberg-MacLane spaces, giving a complete classification of such spaces localized at the prime 2.
Author: James Stasheff
Publisher: Springer
ISBN: 3540363149
Category : Mathematics
Languages : en
Pages : 100
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Book Description
Author:
Publisher: Elsevier
ISBN: 008087133X
Category : Mathematics
Languages : en
Pages : 235
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Book Description
Hopf Spaces
Author: Michael Slack
Publisher:
ISBN:
Category :
Languages : en
Pages : 254
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Book Description
Author: R.M. Kane
Publisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 504
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Book Description
This exposition of the theory of finite Hopf spaces details the development of the subject over the last thirty years, with the homology of such spaces as its main theme. The three chief areas of study in the volume are: - The study of finite H-spaces with torsion free integral homology. - The study of finite H-spaces with homology torsion. - The construction of finite H-spaces.
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: Robert R. Bruner
Publisher: Springer
ISBN: 3540397787
Category : Mathematics
Languages : en
Pages : 396
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Book Description
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.
