Secondary Cohomology Operations

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821832707
Total Pages : 286 pages
Book Rating : 4.8/5 (327 download)

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Book Synopsis Secondary Cohomology Operations by : John R. Harper

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.

The Algebra of Secondary Cohomology Operations

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Publisher : Springer Science & Business Media
ISBN 13 : 3764374497
Total Pages : 510 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis The Algebra of Secondary Cohomology Operations by : Hans-Joachim Baues

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.

Steenrod Squares in Spectral Sequences

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Publisher : American Mathematical Soc.
ISBN 13 : 0821841416
Total Pages : 170 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Steenrod Squares in Spectral Sequences by : William M. Singer

Download or read book Steenrod Squares in Spectral Sequences written by William M. Singer and published by American Mathematical Soc.. This book was released on 2006 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a general theory of Steenrod operations in spectral sequences. It gives special attention to the change-of-rings spectral sequence for the cohomology of an extension of Hopf algebras and to the Eilenberg-Moore spectral sequence for the cohomology of classifying spaces and homotopy orbit spaces. In treating the change-of-rings spectral sequence, the book develops from scratch the necessary properties of extensions of Hopf algebras and constructs the spectral sequence in a form particularly suited to the introduction of Steenrod squares. The resulting theory can be used effectively for the computation of the cohomology rings of groups and Hopf algebras, and of the Steenrod algebra in particular, and so should play a useful role in stable homotopy theory. Similarly the book offers a self-contained construction of the Eilenberg-Moore spectral sequence, in a form suitable for the introduction of Steenrod operations. The corresponding theory is an effective tool for the computation of t

Mathematica Scandinavica

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Publisher :
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematica Scandinavica by :

Download or read book Mathematica Scandinavica written by and published by . This book was released on 1979 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Notices of the American Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 1350 pages
Book Rating : 4.X/5 (1 download)

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Book Synopsis Notices of the American Mathematical Society by : American Mathematical Society

Download or read book Notices of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1972 with total page 1350 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Homotopy Theory

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Publisher : CRC Press
ISBN 13 : 1351251600
Total Pages : 1142 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Handbook of Homotopy Theory by : Haynes Miller

Download or read book Handbook of Homotopy Theory written by Haynes Miller and published by CRC Press. This book was released on 2020-01-23 with total page 1142 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.

Osaka Journal of Mathematics

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Publisher :
ISBN 13 :
Total Pages : 834 pages
Book Rating : 4.:/5 (35 download)

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Book Synopsis Osaka Journal of Mathematics by :

Download or read book Osaka Journal of Mathematics written by and published by . This book was released on 1975 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and Algebraic $K$-Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821832859
Total Pages : 520 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and Algebraic $K$-Theory by : Paul Gregory Goerss

Download or read book Homotopy Theory: Relations with Algebraic Geometry, Group Cohomology, and Algebraic $K$-Theory written by Paul Gregory Goerss and published by American Mathematical Soc.. This book was released on 2004 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: As part of its series of Emphasis Years in Mathematics, Northwestern University hosted an International Conference on Algebraic Topology. The purpose of the conference was to develop new connections between homotopy theory and other areas of mathematics. This proceedings volume grew out of that event. Topics discussed include algebraic geometry, cohomology of groups, algebraic $K$-theory, and $\mathbb{A 1$ homotopy theory. Among the contributors to the volume were Alejandro Adem,Ralph L. Cohen, Jean-Louis Loday, and many others. The book is suitable for graduate students and research mathematicians interested in homotopy theory and its relationship to other areas of mathematics.

Comprehensive Dissertation Index, 1861-1972: Mathematics and statistics

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Publisher :
ISBN 13 :
Total Pages : 856 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Comprehensive Dissertation Index, 1861-1972: Mathematics and statistics by : Xerox University Microfilms

Download or read book Comprehensive Dissertation Index, 1861-1972: Mathematics and statistics written by Xerox University Microfilms and published by . This book was released on 1973 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Comprehensive Dissertation Index

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Publisher :
ISBN 13 :
Total Pages : 858 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Comprehensive Dissertation Index by :

Download or read book Comprehensive Dissertation Index written by and published by . This book was released on 1973 with total page 858 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1770 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1770 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Comprehensive Dissertation Index, 1861-1972: Author index

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Publisher :
ISBN 13 :
Total Pages : 1116 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Comprehensive Dissertation Index, 1861-1972: Author index by : Xerox University Microfilms

Download or read book Comprehensive Dissertation Index, 1861-1972: Author index written by Xerox University Microfilms and published by . This book was released on 1973 with total page 1116 pages. Available in PDF, EPUB and Kindle. Book excerpt:

H Ring Spectra and Their Applications

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Publisher : Springer
ISBN 13 : 3540397787
Total Pages : 396 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis H Ring Spectra and Their Applications by : Robert R. Bruner

Download or read book H Ring Spectra and Their Applications written by Robert R. Bruner and published by Springer. This book was released on 2006-11-14 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nominations

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Publisher :
ISBN 13 :
Total Pages : 158 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Nominations by : United States. Congress. Senate. Labor and Public Welfare Committee

Download or read book Nominations written by United States. Congress. Senate. Labor and Public Welfare Committee and published by . This book was released on 1974 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt:

National Union Catalog

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Publisher :
ISBN 13 :
Total Pages : 616 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis National Union Catalog by :

Download or read book National Union Catalog written by and published by . This book was released on 1978 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes entries for maps and atlases.

Annals of Mathematics

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Publisher :
ISBN 13 :
Total Pages : 566 pages
Book Rating : 4.:/5 (36 download)

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Book Synopsis Annals of Mathematics by :

Download or read book Annals of Mathematics written by and published by . This book was released on 1967 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: Founded in 1884, Annals of Mathematics publishes research papers in pure mathematics.

Hearings, Reports and Prints of the Senate Committee on Labor and Public Welfare

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Publisher :
ISBN 13 :
Total Pages : 1590 pages
Book Rating : 4.:/5 (36 download)

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Book Synopsis Hearings, Reports and Prints of the Senate Committee on Labor and Public Welfare by : United States. Congress. Senate. Committee on Labor and Public Welfare

Download or read book Hearings, Reports and Prints of the Senate Committee on Labor and Public Welfare written by United States. Congress. Senate. Committee on Labor and Public Welfare and published by . This book was released on 1975 with total page 1590 pages. Available in PDF, EPUB and Kindle. Book excerpt: