Author: John R. Harper
Publisher: American Mathematical Soc.
ISBN: 9780821832707
Category : Mathematics
Languages : en
Pages : 286
Book Description
The book develops the theory of secondary cohomology operations for singular cohomology theory. The author develops the subject in terms of elementary constructions from general homotopy theory. Among many applications 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 of more advanced parts of the core material is included in the first chapter. Prerequisite is basic algebraic topology, including the Steenrod operations. The book is written for 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.
Secondary Cohomology Operations
Author: John R. Harper
Publisher: American Mathematical Soc.
ISBN: 9780821832707
Category : Mathematics
Languages : en
Pages : 286
Book Description
The book develops the theory of secondary cohomology operations for singular cohomology theory. The author develops the subject in terms of elementary constructions from general homotopy theory. Among many applications 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 of more advanced parts of the core material is included in the first chapter. Prerequisite is basic algebraic topology, including the Steenrod operations. The book is written for 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.
Publisher: American Mathematical Soc.
ISBN: 9780821832707
Category : Mathematics
Languages : en
Pages : 286
Book Description
The book develops the theory of secondary cohomology operations for singular cohomology theory. The author develops the subject in terms of elementary constructions from general homotopy theory. Among many applications 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 of more advanced parts of the core material is included in the first chapter. Prerequisite is basic algebraic topology, including the Steenrod operations. The book is written for 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.
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.
The Algebra of Secondary Cohomology Operations
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 483
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 483
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
Stable Secondary Cohomology Operations
Author: John R. Harper
Publisher:
ISBN:
Category : Algebraic topology
Languages : en
Pages : 212
Book Description
Publisher:
ISBN:
Category : Algebraic topology
Languages : en
Pages : 212
Book Description
Cohomology Operations and Applications in Homotopy Theory
Author: Robert E. Mosher
Publisher: Courier Corporation
ISBN: 0486466647
Category : Mathematics
Languages : en
Pages : 226
Book Description
Cohomology operations are at the center of a major area of activity in algebraic topology. This treatment explores the single most important variety of operations, the Steenrod squares. It constructs these operations, proves their major properties, and provides numerous applications, including several different techniques of homotopy theory useful for computation. 1968 edition.
Publisher: Courier Corporation
ISBN: 0486466647
Category : Mathematics
Languages : en
Pages : 226
Book Description
Cohomology operations are at the center of a major area of activity in algebraic topology. This treatment explores the single most important variety of operations, the Steenrod squares. It constructs these operations, proves their major properties, and provides numerous applications, including several different techniques of homotopy theory useful for computation. 1968 edition.
Secondary Cohomology Operations Induced by the Diagonal Mapping
Author: Paul A. Schweitzer
Publisher:
ISBN:
Category : Homology theory
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category : Homology theory
Languages : en
Pages :
Book Description
Cohomology Operations
Author: Norman Earl Steenrod
Publisher: Princeton University Press
ISBN: 0691079242
Category : Homology theory
Languages : en
Pages : 155
Book Description
Publisher: Princeton University Press
ISBN: 0691079242
Category : Homology theory
Languages : en
Pages : 155
Book Description
The Algebra of Secondary Cohomology Operations and Its Dual
Author: Hans Joachim Baues
Publisher:
ISBN:
Category :
Languages : en
Pages : 58
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 58
Book Description
Cohomology Operations (AM-50), Volume 50
Author: David B.A. Epstein
Publisher: Princeton University Press
ISBN: 1400881676
Category : Mathematics
Languages : en
Pages : 152
Book Description
Written and revised by D. B. A. Epstein.
Publisher: Princeton University Press
ISBN: 1400881676
Category : Mathematics
Languages : en
Pages : 152
Book Description
Written and revised by D. B. A. Epstein.