The MOD 2 Homology of Infinite Loop Spaces PDF Download
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Author: Jason Bryce McCarty
Publisher:
ISBN:
Category :
Languages : en
Pages : 244
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Book Description
Author: Jason Bryce McCarty
Publisher:
ISBN:
Category :
Languages : en
Pages : 244
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Book Description
Author: Z. Fiedorowicz
Publisher: Springer
ISBN: 3540357351
Category : Mathematics
Languages : en
Pages : 441
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Book Description
Author: F. R. Cohen
Publisher: Springer
ISBN: 3540379851
Category : Mathematics
Languages : en
Pages : 501
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Author: Paul Roger Turner
Publisher:
ISBN:
Category :
Languages : en
Pages : 110
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Book Description
Author: Joseph Neisendorfer
Publisher: Cambridge University Press
ISBN: 1139482599
Category : Mathematics
Languages : en
Pages : 575
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Book Description
The most modern and thorough treatment of unstable homotopy theory available. The focus is on those methods from algebraic topology which are needed in the presentation of results, proven by Cohen, Moore, and the author, on the exponents of homotopy groups. The author introduces various aspects of unstable homotopy theory, including: homotopy groups with coefficients; localization and completion; the Hopf invariants of Hilton, James, and Toda; Samelson products; homotopy Bockstein spectral sequences; graded Lie algebras; differential homological algebra; and the exponent theorems concerning the homotopy groups of spheres and Moore spaces. This book is suitable for a course in unstable homotopy theory, following a first course in homotopy theory. It is also a valuable reference for both experts and graduate students wishing to enter the field.
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: Larry Smith
Publisher: Springer
ISBN: 3540397450
Category : Mathematics
Languages : en
Pages : 215
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Author: J.P. May
Publisher: Springer
ISBN: 3540376038
Category : Mathematics
Languages : en
Pages : 184
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Author: Pavle V. M. Blagojević
Publisher: Springer Nature
ISBN: 3030841383
Category : Mathematics
Languages : en
Pages : 217
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Book Description
This book gives a brief treatment of the equivariant cohomology of the classical configuration space F(R^d,n) from its beginnings to recent developments. This subject has been studied intensively, starting with the classical papers of Artin (1925/1947) on the theory of braids, and progressing through the work of Fox and Neuwirth (1962), Fadell and Neuwirth (1962), and Arnol'd (1969). The focus of this book is on the mod 2 equivariant cohomology algebras of F(R^d,n), whose additive structure was described by Cohen (1976) and whose algebra structure was studied in an influential paper by Hung (1990). A detailed new proof of Hung's main theorem is given, however it is shown that some of the arguments given by him on the way to his result are incorrect, as are some of the intermediate results in his paper. This invalidates a paper by three of the authors, Blagojević, Lück and Ziegler (2016), who used a claimed intermediate result in order to derive lower bounds for the existence of k-regular and l-skew embeddings. Using the new proof of Hung's main theorem, new lower bounds for the existence of highly regular embeddings are obtained: Some of them agree with the previously claimed bounds, some are weaker. Assuming only a standard graduate background in algebraic topology, this book carefully guides the reader on the way into the subject. It is aimed at graduate students and researchers interested in the development of algebraic topology in its applications in geometry.
Author: Samuel N. Kleinerman
Publisher: American Mathematical Soc.
ISBN: 0821822683
Category : Mathematics
Languages : en
Pages : 93
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Book Description
