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Author: Francois Sigrist
Publisher: Springer
ISBN: 3540366210
Category : Mathematics
Languages : en
Pages : 165
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Book Description
Author: Francois Sigrist
Publisher: Springer
ISBN: 3540366210
Category : Mathematics
Languages : en
Pages : 165
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Book Description
Author: James D. Stasheff
Publisher:
ISBN:
Category : H-spaces
Languages : en
Pages : 58
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Book Description
Author: I. M. James
Publisher:
ISBN:
Category : H-spaces
Languages : en
Pages : 30
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Book Description
Author: James P. Lin
Publisher: American Mathematical Soc.
ISBN: 0821824317
Category : Mathematics
Languages : en
Pages : 98
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Book Description
Author: John R. Harper
Publisher: American Mathematical Soc.
ISBN: 0821822233
Category : Mathematics
Languages : en
Pages : 84
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Book Description
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.
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:
Publisher: Elsevier
ISBN: 008087133X
Category : Mathematics
Languages : en
Pages : 235
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Book Description
Hopf Spaces
![Theory of H[superscript p] spaces PDF](https://books.google.com/books/content/images/frontcover/52DjPEmW6iUC?fife=w80-h100)
Author:
Publisher: Academic Press
ISBN: 0080873510
Category : Mathematics
Languages : en
Pages : 277
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Book Description
The theory of HP spaces has its origins in discoveries made forty or fifty years ago by such mathematicians as G. H. Hardy, J. E. Littlewood, I. I. Privalov, F. and M. Riesz, V. Smirnov, and G. Szego. Most of this early work is concerned with the properties of individual functions of class HP, and is classical in spirit. In recent years, the development of functional analysis has stimulated new interest in the HP classes as linear spaces. This point of viewhas suggested a variety of natural problems and has provided new methods of attack, leading to important advances in the theory. This book is an account of both aspects of the subject, the classical and the modern. It is intended to provide a convenient source for the older parts of the theory (the work of Hardy and Littlewood, for example), as well as to give a self-contained exposition of more recent developments such as Beurling's theorem on invariant subspaces, the Macintyre-RogosinskiShapiro-Havinson theory of extremal problems, interpolation theory, the dual space structure of HP with p
Author: Brayton Gray
Publisher: American Mathematical Soc.
ISBN: 1470423081
Category : Mathematics
Languages : en
Pages : 124
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Book Description
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).
Author: Paul Selick
Publisher: American Mathematical Soc.
ISBN: 9780821844366
Category : Mathematics
Languages : en
Pages : 220
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Book Description
Offers a summary for students and non-specialists who are interested in learning the basics of algebraic topology. This book covers fibrations and cofibrations, Hurewicz and cellular approximation theorems, topics in classical homotopy theory, simplicial sets, fiber bundles, Hopf algebras, and generalized homology and cohomology operations.
