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

The RO(G)-graded Equivariant Ordinary Homology of G-cell Complexes with Even-dimensional Cells for G
Title The RO(G)-graded Equivariant Ordinary Homology of G-cell Complexes with Even-dimensional Cells for G PDF eBook
Author Kevin K. Ferland
Publisher American Mathematical Soc.
Pages 148
Release
Genre Mathematics
ISBN 9780821865163

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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.

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

The $RO(G)$-Graded Equivariant Ordinary Homology of $G$-Cell Complexes with Even-Dimensional Cells for $G=\mathbb {Z}/p$
Title The $RO(G)$-Graded Equivariant Ordinary Homology of $G$-Cell Complexes with Even-Dimensional Cells for $G=\mathbb {Z}/p$ PDF eBook
Author
Publisher American Mathematical Soc.
Pages 146
Release
Genre
ISBN 0821834614

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

The Ro(g)-Graded Equivariant Ordinary Homology of G-Cell Complexes with Even-Dimensional Cells for G=z
Title The Ro(g)-Graded Equivariant Ordinary Homology of G-Cell Complexes with Even-Dimensional Cells for G=z PDF eBook
Author Kevin K. Ferland
Publisher
Pages 146
Release 2014-09-11
Genre Algebraic topology
ISBN 9781470403928

Download The Ro(g)-Graded Equivariant Ordinary Homology of G-Cell Complexes with Even-Dimensional Cells for G=z Book in PDF, Epub and Kindle

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.

On the RO(G)-graded Equivariant Ordinary Cohomology of Generalized G-cell Complexes for G

On the RO(G)-graded Equivariant Ordinary Cohomology of Generalized G-cell Complexes for G
Title On the RO(G)-graded Equivariant Ordinary Cohomology of Generalized G-cell Complexes for G PDF eBook
Author Kevin K. Ferland
Publisher
Pages 176
Release 1999
Genre Algebraic topology
ISBN

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It is well known that the cohomology of a finite CW-complex with cells only in even dimensions is free. The equivariant analog of this result for generalized G-cell complexes is, however, not obvious, since RO(G)-graded cohomology cannot be computed using cellular chains. We consider G = Z/p and study G-spaces that can be built as cell complexes using the unit disks of finite dimensional G-representations as cells. Our main result is that, if X is a G-complex containing only even dimensional representation cells and satisfying certain finite type assumptions, then the RO(G)-graded equivariant ordinary cohomology is free as a graded module over the cohomology of a point. This extends a result due to Gaunce Lewis about equivariant complex projective spaces with linear Z/p actions. Our new result applies more generally to equivariant complex Grassmannians with linear Z/p actions.

Projective Duality and Homogeneous Spaces

Projective Duality and Homogeneous Spaces
Title Projective Duality and Homogeneous Spaces PDF eBook
Author Evgueni A. Tevelev
Publisher Springer Science & Business Media
Pages 257
Release 2006-03-30
Genre Mathematics
ISBN 3540269576

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Projective duality is a very classical notion naturally arising in various areas of mathematics, such as algebraic and differential geometry, combinatorics, topology, analytical mechanics, and invariant theory, and the results in this field were until now scattered across the literature. Thus the appearance of a book specifically devoted to projective duality is a long-awaited and welcome event. Projective Duality and Homogeneous Spaces covers a vast and diverse range of topics in the field of dual varieties, ranging from differential geometry to Mori theory and from topology to the theory of algebras. It gives a very readable and thorough account and the presentation of the material is clear and convincing. For the most part of the book the only prerequisites are basic algebra and algebraic geometry. This book will be of great interest to graduate and postgraduate students as well as professional mathematicians working in algebra, geometry and analysis.

Groups

Groups
Title Groups PDF eBook
Author Thomas Wolfgang Müller
Publisher Cambridge University Press
Pages 608
Release 2004-04-08
Genre Mathematics
ISBN 9780521542876

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Survey and research articles from the Bielefeld conference on topological, combinatorial and arithmetic aspects of groups.

Iteration of Rational Functions

Iteration of Rational Functions
Title Iteration of Rational Functions PDF eBook
Author Alan F. Beardon
Publisher Springer Science & Business Media
Pages 308
Release 2000-09-27
Genre Mathematics
ISBN 9780387951515

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This book focuses on complex analytic dynamics, which dates from 1916 and is currently attracting considerable interest. The text provides a comprehensive, well-organized treatment of the foundations of the theory of iteration of rational functions of a complex variable. The coverage extends from early memoirs of Fatou and Julia to important recent results and methods of Sullivan and Shishikura. Many details of the proofs have not appeared in print before.