H Spaces

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H Spaces

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Author : Francois Sigrist
language : en
Publisher: Springer
Release Date : 2006-11-15

H Spaces written by Francois Sigrist and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

H Spaces From A Homotopy Point Of View

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Author : James Stasheff
language : en
Publisher: Springer
Release Date : 2006-11-15

H Spaces From A Homotopy Point Of View written by James Stasheff and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

On Homotopy Abelian H Spaces

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Author : James D. Stasheff
language : en
Publisher:
Release Date : 1961

On Homotopy Abelian H Spaces written by James D. Stasheff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with H-spaces categories.

The Ten Types Of H Spaces

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Author : I. M. James
language : en
Publisher:
Release Date : 1959

The Ten Types Of H Spaces written by I. M. James and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with H-spaces categories.

Steenrod Connections And Connectivity In H Spaces

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Author : James P. Lin
language : en
Publisher: American Mathematical Soc.
Release Date : 1987

Steenrod Connections And Connectivity In H Spaces written by James P. Lin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.

H Spaces With Torsion

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Author : John R. Harper
language : en
Publisher: American Mathematical Soc.
Release Date : 1979

H Spaces With Torsion written by John R. Harper and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.

For each odd prime 'p' a simply connected finite H-space is constructed with p-torsion in homology. Implications of the examples for the theory of finite H-spaces are examined. Applications of the techniques used for the main results are given to mod p decomposition problems. An extensive review of the theory of unstable Adams resolutions is provided.

A Classification Theorem For Homotopy Commutative H Spaces With Finitely Generated Bmod 2 Cohomology Rings

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Author : Michael Slack
language : en
Publisher: American Mathematical Soc.
Release Date : 1991

A Classification Theorem For Homotopy Commutative H Spaces With Finitely Generated Bmod 2 Cohomology Rings written by Michael Slack and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.

Many homological properties of Lie groups are derived strictly from homotopy-theoretic considerations and do not depend on any geometric or analytic structure. An H-space is a topological space having a continuous multiplication with unit. Generalizing from Lie group theory, John Hubbuck proved that a connected, homotopy commutative H-space which is a finite cell complex has the homotopy type of a torus. There are many interesting examples of H-spaces which are not finite complexes - loop spaces are one example. The aim of this book is to prove a version of Hubbuck's theorem in which the condition that the H-space be a finite cell complex is replaced by the condition that it have a finitely-generated mod 2 cohomology ring. The conclusion of the theorem is slightly more general in this case, and some mild associativity hypotheses are required. The method of proof uses established techniques in H-space theory, as well as a new obstruction-theoretic approach to (Araki-Kudo-Dyer-Lashof) homology operations for iterated loop spaces.

Abelian Properties Of Anick Spaces

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Author : Brayton Gray
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-02-20

Abelian Properties Of Anick Spaces written by Brayton Gray and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-20 with Mathematics categories.

Anick spaces are closely connected with both EHP sequences and the study of torsion exponents. In addition they refine the secondary suspension and enter unstable periodicity. This work describes their -space properties as well as universal properties. Techniques include a new kind on Whitehead product defined for maps out of co-H spaces, calculations in an additive category that lies between the unstable category and the stable category, and a controlled version of the extension theorem of Gray and Theriault (Geom. Topol. 14 (2010), no. 1, 243–275).

Topology And Geometry

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Author : Glen E. Bredon
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-06-24

Topology And Geometry written by Glen E. Bredon and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-06-24 with Education categories.

This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: "An interesting and original graduate text in topology and geometry...a good lecturer can use this text to create a fine course....A beginning graduate student can use this text to learn a great deal of mathematics."—-MATHEMATICAL REVIEWS

Handbook Of Algebraic Topology

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Author : I.M. James
language : en
Publisher: Elsevier
Release Date : 1995-07-18

Handbook Of Algebraic Topology written by I.M. James and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-07-18 with Mathematics categories.

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.