The Algebra Of Secondary Cohomology Operations
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The Algebra Of Secondary Cohomology Operations
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Author : Hans-Joachim Baues
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-12
The Algebra Of Secondary Cohomology Operations written by Hans-Joachim Baues and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-12 with Mathematics categories.
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
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Author :
language : en
Publisher:
Release Date : 2006
The Algebra Of Secondary Cohomology Operations written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
Secondary Cohomology Operations
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Author : John R. Harper
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Secondary Cohomology Operations written by John R. Harper and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Homology theory categories.
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 Factorization Of Cyclic Reduced Powers By Secondary Cohomology Operations
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Author : Arunas Liulevicius
language : en
Publisher: American Mathematical Soc.
Release Date : 1962
The Factorization Of Cyclic Reduced Powers By Secondary Cohomology Operations written by Arunas Liulevicius and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Algebraic topology categories.
Cohomology Operations And Applications In Homotopy Theory
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Author : Robert E. Mosher
language : en
Publisher: Courier Corporation
Release Date : 2008-01-01
Cohomology Operations And Applications In Homotopy Theory written by Robert E. Mosher and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.
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.
Cohomology Operations
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Author : Norman Earl Steenrod
language : en
Publisher: Princeton University Press
Release Date : 1962
Cohomology Operations written by Norman Earl Steenrod and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Homology theory categories.
An Algebra Of Additive Relations
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Author : Saunders Mac Lane
language : en
Publisher:
Release Date : 1961
An Algebra Of Additive Relations written by Saunders Mac Lane and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Algebra categories.
The Algebra Of Secondary Cohomology Operations
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Author : Hans-Joachim Baues
language : en
Publisher: Birkhäuser
Release Date : 2006-03-17
The Algebra Of Secondary Cohomology Operations written by Hans-Joachim Baues and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-17 with Mathematics categories.
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.
Cohomology Operations
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Author : Norman Earl Steenrod
language : en
Publisher:
Release Date : 1962
Cohomology Operations written by Norman Earl Steenrod and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Homology theory categories.
Encyclopaedia Of Mathematics
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Author : M. Hazewinkel
language : en
Publisher: Springer
Release Date : 2013-12-01
Encyclopaedia Of Mathematics written by M. Hazewinkel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.