Author: Arunas Liulevicius
Publisher: American Mathematical Soc.
ISBN: 0821812424
Category : Algebraic topology
Languages : en
Pages : 118
Book Description
The Factorization of Cyclic Reduced Powers by Secondary Cohomology Operations
Author: Arunas Liulevicius
Publisher: American Mathematical Soc.
ISBN: 0821812424
Category : Algebraic topology
Languages : en
Pages : 118
Book Description
Publisher: American Mathematical Soc.
ISBN: 0821812424
Category : Algebraic topology
Languages : en
Pages : 118
Book Description
The Factorization of Cyclic Reduces Powers by Secondary Cohomology Operations
Author: Arunas Liulevicius
Publisher:
ISBN:
Category :
Languages : en
Pages : 112
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 112
Book Description
The Factorization of Cyclic Reduced Powers by Secondary Cohomology Operations
Author:
Publisher:
ISBN: 9780821812426
Category :
Languages : en
Pages : 112
Book Description
Publisher:
ISBN: 9780821812426
Category :
Languages : en
Pages : 112
Book Description
The Factorization of Cyclic Reduced Powers by Secondary Chomology Operations
Author: Arunas Liulevicius
Publisher:
ISBN:
Category :
Languages : en
Pages : 112
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 112
Book Description
Secondary Cohomology Operations
Author: John R. Harper
Publisher: American Mathematical Soc.
ISBN: 0821831984
Category : Mathematics
Languages : en
Pages : 282
Book Description
Although the theory and applications of secondary cohomology operations are an important part of an advanced graduate-level algebraic topology course, there are few books on the subject. The AMS now fills that gap with the publication of the present volume. The author's main purpose in this book is to develop the theory of secondary cohomology operations for singular cohomology theory, which is treated in terms of elementary constructions from general homotopy theory. Among manyapplications considered are the Hopf invariant one theorem (for all primes $p$, including $p = 2$), Browder's theorem on higher Bockstein operations, and cohomology theory of Massey-Peterson fibrations. Numerous examples and exercises help readers to gain a working knowledge of the theory. A summary ofmore advanced parts of the core material is included in the first chapter. Prerequisite is basic algebraic topology, including the Steenrod operations. The book is geared toward graduate students and research mathematicians interested in algebraic topology and can be used for self-study or as a textbook for an advanced course on the topic. It is available in both hardcover and softcover editions.
Publisher: American Mathematical Soc.
ISBN: 0821831984
Category : Mathematics
Languages : en
Pages : 282
Book Description
Although the theory and applications of secondary cohomology operations are an important part of an advanced graduate-level algebraic topology course, there are few books on the subject. The AMS now fills that gap with the publication of the present volume. The author's main purpose in this book is to develop the theory of secondary cohomology operations for singular cohomology theory, which is treated in terms of elementary constructions from general homotopy theory. Among manyapplications considered are the Hopf invariant one theorem (for all primes $p$, including $p = 2$), Browder's theorem on higher Bockstein operations, and cohomology theory of Massey-Peterson fibrations. Numerous examples and exercises help readers to gain a working knowledge of the theory. A summary ofmore advanced parts of the core material is included in the first chapter. Prerequisite is basic algebraic topology, including the Steenrod operations. The book is geared toward graduate students and research mathematicians interested in algebraic topology and can be used for self-study or as a textbook for an advanced course on the topic. It is available in both hardcover and softcover editions.
The Algebra of Secondary Cohomology Operations
Author: Hans-Joachim Baues
Publisher: Springer Science & Business Media
ISBN: 3764374497
Category : Mathematics
Languages : en
Pages : 510
Book Description
The algebra of primary cohomology operations computed by the well-known Steenrod algebra is one of the most powerful tools of algebraic topology. This book computes the algebra of secondary cohomology operations which enriches the structure of the Steenrod algebra in a new and unexpected way. The book solves a long-standing problem on the algebra of secondary cohomology operations by developing a new algebraic theory of such operations. The results have strong impact on the Adams spectral sequence and hence on the computation of homotopy groups of spheres.
Publisher: Springer Science & Business Media
ISBN: 3764374497
Category : Mathematics
Languages : en
Pages : 510
Book Description
The algebra of primary cohomology operations computed by the well-known Steenrod algebra is one of the most powerful tools of algebraic topology. This book computes the algebra of secondary cohomology operations which enriches the structure of the Steenrod algebra in a new and unexpected way. The book solves a long-standing problem on the algebra of secondary cohomology operations by developing a new algebraic theory of such operations. The results have strong impact on the Adams spectral sequence and hence on the computation of homotopy groups of spheres.
Odd Primary Infinite Families in Stable Homotopy Theory
Author: Ralph L. Cohen
Publisher: American Mathematical Soc.
ISBN: 082182242X
Category : Adams spectral sequences
Languages : en
Pages : 102
Book Description
Addresses issues with odd primary infinite families in stable homotopy theory.
Publisher: American Mathematical Soc.
ISBN: 082182242X
Category : Adams spectral sequences
Languages : en
Pages : 102
Book Description
Addresses issues with odd primary infinite families in stable homotopy theory.
Polynomials and the mod 2 Steenrod Algebra
Author: Grant Walker
Publisher: Cambridge University Press
ISBN: 1108414486
Category : Mathematics
Languages : en
Pages : 371
Book Description
The first of two volumes covering the Steenrod algebra and its various applications. Suitable as a graduate text.
Publisher: Cambridge University Press
ISBN: 1108414486
Category : Mathematics
Languages : en
Pages : 371
Book Description
The first of two volumes covering the Steenrod algebra and its various applications. Suitable as a graduate text.
Polynomials and the mod 2 Steenrod Algebra: Volume 2, Representations of GL (n,F2)
Author: Grant Walker
Publisher: Cambridge University Press
ISBN: 1108355927
Category : Mathematics
Languages : en
Pages : 381
Book Description
This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's `hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n, F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.
Publisher: Cambridge University Press
ISBN: 1108355927
Category : Mathematics
Languages : en
Pages : 381
Book Description
This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's `hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n, F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.
Polynomials and the mod 2 Steenrod Algebra
Author: Grant Walker (Mathematician)
Publisher: Cambridge University Press
ISBN: 1108414451
Category : Polynomials
Languages : en
Pages : 381
Book Description
This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's 'hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n,F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.
Publisher: Cambridge University Press
ISBN: 1108414451
Category : Polynomials
Languages : en
Pages : 381
Book Description
This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's 'hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n,F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.