The Ro(g)-Graded Equivariant Ordinary Homology of G-Cell Complexes with Even-Dimensional Cells for G=z

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Publisher :
ISBN 13 : 9781470403928
Total Pages : 146 pages
Book Rating : 4.4/5 (39 download)

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Book Synopsis The Ro(g)-Graded Equivariant Ordinary Homology of G-Cell Complexes with Even-Dimensional Cells for G=z by : Kevin K. Ferland

Download or read book The Ro(g)-Graded Equivariant Ordinary Homology of G-Cell Complexes with Even-Dimensional Cells for G=z written by Kevin K. Ferland and published by . This book was released on 2014-09-11 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well known that the homology of a CW-complex with cells only in even dimensions is free. The equivariant analog of this result for $G$-cell complexes is, however, not obvious, since $RO(G)$-graded homology cannot be computed using cellular chains. This book considers $G = \mathbb{Z}/p$ and studies $G$-cell complexes.

The $RO(G)$-Graded Equivariant Ordinary Homology of $G$-Cell Complexes with Even-Dimensional Cells for $G=\mathbb {Z}/p$

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821834614
Total Pages : 146 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The $RO(G)$-Graded Equivariant Ordinary Homology of $G$-Cell Complexes with Even-Dimensional Cells for $G=\mathbb {Z}/p$ by :

Download or read book The $RO(G)$-Graded Equivariant Ordinary Homology of $G$-Cell Complexes with Even-Dimensional Cells for $G=\mathbb {Z}/p$ written by and published by American Mathematical Soc.. This book was released on with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The RO(G)-graded Equivariant Ordinary Homology of G-cell Complexes with Even-dimensional Cells for G

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821865163
Total Pages : 148 pages
Book Rating : 4.8/5 (651 download)

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Book Synopsis The RO(G)-graded Equivariant Ordinary Homology of G-cell Complexes with Even-dimensional Cells for G by : Kevin K. Ferland

Download or read book The RO(G)-graded Equivariant Ordinary Homology of G-cell Complexes with Even-dimensional Cells for G written by Kevin K. Ferland and published by American Mathematical Soc.. This book was released on with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this warm and accessibly written study - the first major consideration of old age in Western philosophy and literature since Simone de Beauvoir's The Coming of Age - Helen Small ranges widely from the writings of Plato through to recent philosophical work by Derek Parfit, Bernard Williams and others, and from Shakespeare's King Lear through works by Thomas Mann, Balzac, Dickens, Beckett, Stevie Smith, Larkin, to more recent writing by Bellow, Roth, and Coetzee. A groundbreaking book that is likely to alter the way in which we talk about one of the great social concerns of our time.

Equivariant Ordinary Homology and Cohomology

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Publisher : Springer
ISBN 13 : 3319504487
Total Pages : 308 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Equivariant Ordinary Homology and Cohomology by : Steven R. Costenoble

Download or read book Equivariant Ordinary Homology and Cohomology written by Steven R. Costenoble and published by Springer. This book was released on 2017-01-02 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Filling a gap in the literature, this book takes the reader to the frontiers of equivariant topology, the study of objects with specified symmetries. The discussion is motivated by reference to a list of instructive “toy” examples and calculations in what is a relatively unexplored field. The authors also provide a reading path for the first-time reader less interested in working through sophisticated machinery but still desiring a rigorous understanding of the main concepts. The subject’s classical counterparts, ordinary homology and cohomology, dating back to the work of Henri Poincaré in topology, are calculational and theoretical tools which are important in many parts of mathematics and theoretical physics, particularly in the study of manifolds. Similarly powerful tools have been lacking, however, in the context of equivariant topology. Aimed at advanced graduate students and researchers in algebraic topology and related fields, the book assumes knowledge of basic algebraic topology and group actions.

Equivariant Cohomology Theories

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Publisher : Springer
ISBN 13 : 3540349731
Total Pages : 72 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Equivariant Cohomology Theories by : Glen E. Bredon

Download or read book Equivariant Cohomology Theories written by Glen E. Bredon and published by Springer. This book was released on 2006-11-14 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: a

Equivariant Cohomology of Configuration Spaces Mod 2

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Publisher : Springer Nature
ISBN 13 : 3030841383
Total Pages : 217 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Equivariant Cohomology of Configuration Spaces Mod 2 by : Pavle V. M. Blagojević

Download or read book Equivariant Cohomology of Configuration Spaces Mod 2 written by Pavle V. M. Blagojević and published by Springer Nature. This book was released on 2022-01-01 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a brief treatment of the equivariant cohomology of the classical configuration space F(R^d,n) from its beginnings to recent developments. This subject has been studied intensively, starting with the classical papers of Artin (1925/1947) on the theory of braids, and progressing through the work of Fox and Neuwirth (1962), Fadell and Neuwirth (1962), and Arnol'd (1969). The focus of this book is on the mod 2 equivariant cohomology algebras of F(R^d,n), whose additive structure was described by Cohen (1976) and whose algebra structure was studied in an influential paper by Hung (1990). A detailed new proof of Hung's main theorem is given, however it is shown that some of the arguments given by him on the way to his result are incorrect, as are some of the intermediate results in his paper. This invalidates a paper by three of the authors, Blagojević, Lück and Ziegler (2016), who used a claimed intermediate result in order to derive lower bounds for the existence of k-regular and l-skew embeddings. Using the new proof of Hung's main theorem, new lower bounds for the existence of highly regular embeddings are obtained: Some of them agree with the previously claimed bounds, some are weaker. Assuming only a standard graduate background in algebraic topology, this book carefully guides the reader on the way into the subject. It is aimed at graduate students and researchers interested in the development of algebraic topology in its applications in geometry.

Equivariant Singular Homology and Cohomology I

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821859223
Total Pages : 84 pages
Book Rating : 4.8/5 (592 download)

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Book Synopsis Equivariant Singular Homology and Cohomology I by : Sšren Illman

Download or read book Equivariant Singular Homology and Cohomology I written by Sšren Illman and published by American Mathematical Soc.. This book was released on 1975-12-31 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Equivariant Homotopy and Cohomology Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821803196
Total Pages : 106 pages
Book Rating : 4.8/5 (31 download)

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Book Synopsis Equivariant Homotopy and Cohomology Theory by : J. Peter May

Download or read book Equivariant Homotopy and Cohomology Theory written by J. Peter May and published by American Mathematical Soc.. This book was released on 1996 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.