Equivariant Homotopy and Cohomology Theory

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Author :
Release : 1996
Genre : Mathematics
Kind :
Book Rating : 190/5 ( reviews)

Equivariant Homotopy and Cohomology Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Equivariant Homotopy and Cohomology Theory write by J. Peter May. This book was released on 1996. Equivariant Homotopy and Cohomology Theory available in PDF, EPUB and Kindle. This volume introduces equivariant homotopy, homology, and cohomology theory, along with various related topics in modern algebraic topology. It explains the main ideas behind some of the most striking recent advances in the subject. The works begins with a development of the equivariant algebraic topology of spaces culminating in a discussion of the Sullivan conjecture that emphasizes its relationship with classical Smith theory. The book then introduces equivariant stable homotopy theory, the equivariant stable homotopy category, and the most important examples of equivariant cohomology theories. The basic machinery that is needed to make serious use of equivariant stable homotopy theory is presented next, along with discussions of the Segal conjecture and generalized Tate cohomology. Finally, the book gives an introduction to "brave new algebra", the study of point-set level algebraic structures on spectra and its equivariant applications. Emphasis is placed on equivariant complex cobordism, and related results on that topic are presented in detail.

Equivariant Homotopy and Cohomology Theory

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Author :
Release : 1996
Genre : Homology theory
Kind :
Book Rating : 510/5 ( reviews)

Equivariant Homotopy and Cohomology Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Equivariant Homotopy and Cohomology Theory write by J. Peter May. This book was released on 1996. Equivariant Homotopy and Cohomology Theory available in PDF, EPUB and Kindle. This volume introduces equivariant homotopy, homology, and cohomology theory, along with various related topics in modern algebraic topology. It explains the main ideas behind some of the most striking recent advances in the subject. The book begins with a development of the equivariant algebraic topology of spaces culminating in a discussion of the Sullivan conjecture that emphasizes its relationship with classical Smith theory. It then introduces equivariant stable homotopy theory, the equivariant stable homotopy category, and the most important examples of equivariant cohomology theories. T.

Equivariant Homotopy and Cohomology Theory

Download Equivariant Homotopy and Cohomology Theory PDF Online Free

Author :
Release : 1996-01-01
Genre : Science
Kind :
Book Rating : 354/5 ( reviews)

Equivariant Homotopy and Cohomology Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Equivariant Homotopy and Cohomology Theory write by M. Cole. This book was released on 1996-01-01. Equivariant Homotopy and Cohomology Theory available in PDF, EPUB and Kindle. This volume introduces equivariant homotopy, homology, and cohomology theory, along with various related topics in modern algebraic topology. It explains the main ideas behind some of the most striking recent advances in the subject. The works begins with a development of the equivariant algebraic topology of spaces culminating in a discussion of the Sullivan conjecture that emphasizes its relationship with classical Smith theory. The book then introduces equivariant stable homotopy theory, the equivariant stable homotopy category, and the most important examples of equivariant cohomology theories. The basic machinery that is needed to make serious use of equivariant stable homotopy theory is presented next, along with discussions of the Segal conjecture and generalized Tate cohomology. Finally, the book gives an introduction to "brave new algebra", the study of point-set level algebraic structures on spectra and its equivariant applications. Emphasis is placed on equivariant complex cobordism, and related results on that topic are presented in detail.

Equivariant Stable Homotopy Theory

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Release : 2006-11-14
Genre : Mathematics
Kind :
Book Rating : 778/5 ( reviews)

Equivariant Stable Homotopy Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Equivariant Stable Homotopy Theory write by L. Gaunce Jr. Lewis. This book was released on 2006-11-14. Equivariant Stable Homotopy Theory available in PDF, EPUB and Kindle. This book is a foundational piece of work in stable homotopy theory and in the theory of transformation groups. It may be roughly divided into two parts. The first part deals with foundations of (equivariant) stable homotopy theory. A workable category of CW-spectra is developed. The foundations are such that an action of a compact Lie group is considered throughout, and spectra allow desuspension by arbitrary representations. But even if the reader forgets about group actions, he will find many details of the theory worked out for the first time. More subtle constructions like smash products, function spectra, change of group isomorphisms, fixed point and orbit spectra are treated. While it is impossible to survey properly the material which is covered in the book, it does boast these general features: (i) a thorough and reliable presentation of the foundations of the theory; (ii) a large number of basic results, principal applications, and fundamental techniques presented for the first time in a coherent theory, unifying numerous treatments of special cases in the literature.

Equivariant Cohomology Theories

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Author :
Release : 2006-11-14
Genre : Mathematics
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Book Rating : 731/5 ( reviews)

Equivariant Cohomology Theories - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Equivariant Cohomology Theories write by Glen E. Bredon. This book was released on 2006-11-14. Equivariant Cohomology Theories available in PDF, EPUB and Kindle. a