Download or read book The Algebra of Secondary Cohomology Operations written by Hans-Joachim Baues and published by Springer Science & Business Media. This book was released on 2006-06-12 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Secondary Cohomology Operations written by John R. Harper and published by American Mathematical Soc.. This book was released on 2002 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Algebra of Secondary Cohomology Operations written by and published by . This book was released on 2006 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Algebra of Secondary Cohomology Operations and Its Dual written by Hans Joachim Baues and published by . This book was released on 2004 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cohomology Operations and Applications in Homotopy Theory written by Robert E. Mosher and published by Courier Corporation. This book was released on 2008-01-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Factorization of Cyclic Reduced Powers by Secondary Cohomology Operations written by Arunas Liulevicius and published by American Mathematical Soc.. This book was released on 1962 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cohomology Operations written by Norman Earl Steenrod and published by Princeton University Press. This book was released on 1962 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cohomology Operations AM 50 Volume 50 written by David B.A. Epstein and published by Princeton University Press. This book was released on 2016-03-02 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written and revised by D. B. A. Epstein.
Download or read book Secondary Cohomology Operations written by John R. Harper and published by American Mathematical Soc.. This book was released on 2002 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Stable Secondary Cohomology Operations written by John R. Harper and published by . This book was released on 1967 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Factorization of Cyclic Reduced Powers by Secondary Cohomology Operations written by and published by . This book was released on 1962-12-30 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Secondary Cohomology Operations Induced by the Diagonal Mapping written by Paul A. Schweitzer and published by . This book was released on 1962 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 927 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathematics. It is a translation with updates and editorial comments of the Soviet Mathematical En cyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977 - 1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivision has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathe matics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, engineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Download or read book Cohomology Operations written by Norman Earl Steenrod and published by . This book was released on 1962-10-21 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written and revised by D. B. A. Epstein.
Download or read book The Factorization of Cyclic Reduces Powers by Secondary Cohomology Operations written by Arunas Liulevicius and published by . This book was released on 1962 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Algebra of Additive Relations written by Saunders Mac Lane and published by . This book was released on 1961 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
