Author: Jason Bryce McCarty
Publisher:
ISBN:
Category :
Languages : en
Pages : 244
Book Description
The MOD 2 Homology of Infinite Loop Spaces
Author: Jason Bryce McCarty
Publisher:
ISBN:
Category :
Languages : en
Pages : 244
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 244
Book Description
Homology of Classical Groups Over Finite Fields and Their Associated Infinite Loop Spaces
Author: Z. Fiedorowicz
Publisher: Springer
ISBN: 3540357351
Category : Mathematics
Languages : en
Pages : 441
Book Description
Publisher: Springer
ISBN: 3540357351
Category : Mathematics
Languages : en
Pages : 441
Book Description
The Homology of Iterated Loop Spaces
Author: F. R. Cohen
Publisher: Springer
ISBN: 3540379851
Category : Mathematics
Languages : en
Pages : 501
Book Description
Publisher: Springer
ISBN: 3540379851
Category : Mathematics
Languages : en
Pages : 501
Book Description
On the Homology of Certain Infinite Loop Spaces
Author: Paul Roger Turner
Publisher:
ISBN:
Category :
Languages : en
Pages : 110
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 110
Book Description
Algebraic Methods in Unstable Homotopy Theory
Author: Joseph Neisendorfer
Publisher: Cambridge University Press
ISBN: 1139482599
Category : Mathematics
Languages : en
Pages : 575
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.
Publisher: Cambridge University Press
ISBN: 1139482599
Category : Mathematics
Languages : en
Pages : 575
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.
The Homology of Hopf Spaces
Author: R.M. Kane
Publisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 504
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.
Publisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 504
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.
Algebraic Topology. Göttingen 1984
Author: Larry Smith
Publisher: Springer
ISBN: 3540397450
Category : Mathematics
Languages : en
Pages : 215
Book Description
Publisher: Springer
ISBN: 3540397450
Category : Mathematics
Languages : en
Pages : 215
Book Description
The Geometry of Iterated Loop Spaces
Author: J.P. May
Publisher: Springer
ISBN: 3540376038
Category : Mathematics
Languages : en
Pages : 184
Book Description
Publisher: Springer
ISBN: 3540376038
Category : Mathematics
Languages : en
Pages : 184
Book Description
Equivariant Cohomology of Configuration Spaces Mod 2
Author: Pavle V. M. Blagojević
Publisher: Springer Nature
ISBN: 3030841383
Category : Mathematics
Languages : en
Pages : 217
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.
Publisher: Springer Nature
ISBN: 3030841383
Category : Mathematics
Languages : en
Pages : 217
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.
The Cohomology of Chevalley Groups of Exceptional Lie Type
Author: Samuel N. Kleinerman
Publisher: American Mathematical Soc.
ISBN: 0821822683
Category : Mathematics
Languages : en
Pages : 93
Book Description
Publisher: American Mathematical Soc.
ISBN: 0821822683
Category : Mathematics
Languages : en
Pages : 93
Book Description