Equivariant Singular Homology And Cohomology I
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Equivariant Singular Homology and Cohomology I
Author | : Sören Illman |
Publsiher | : American Mathematical Soc. |
Total Pages | : 80 |
Release | : 1975 |
Genre | : Algebraic topology |
ISBN | : 9780821818565 |
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Let G be a topological group. We construct an equivariant homology and equivariant cohomology theory, defined on the category of all G-pairs and G-maps, which both satisfy all seven equivariant Eilenberg-Steenrod axioms and have a given covariant and contravariant, respectively, coefficient system as coefficients. We also establish some further properties of these equivariant singular homology and cohomology theories, such as, a naturality property in the transformation group, transfer homomorphisms and a cup-product in equivariant singular cohomology with coefficients in a commutative ring coefficient system.
Equivariant Singular Homology and Cohomology
Author | : Sören Illman |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 1975 |
Genre | : Electronic Book |
ISBN | : OCLC:834136547 |
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Equivariant Ordinary Homology and Cohomology
Author | : Steven R. Costenoble,Stefan Waner |
Publsiher | : Springer |
Total Pages | : 294 |
Release | : 2017-01-02 |
Genre | : Mathematics |
ISBN | : 9783319504483 |
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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 Homotopy and Cohomology Theory
Author | : J. Peter May,M. Cole |
Publsiher | : American Mathematical Soc. |
Total Pages | : 384 |
Release | : 1996 |
Genre | : Mathematics |
ISBN | : 9780821803196 |
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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.
The RO G Graded Equivariant Ordinary Homology of G Cell Complexes with Even Dimensional Cells for G mathbb Z p
Author | : Anonim |
Publsiher | : American Mathematical Soc. |
Total Pages | : 135 |
Release | : 2024 |
Genre | : Electronic Book |
ISBN | : 9780821834619 |
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Equivariant Cohomology Theories
Author | : Glen E. Bredon |
Publsiher | : Springer |
Total Pages | : 72 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 9783540349730 |
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Equivariant Algebraic Topology
Author | : Sören Illman |
Publsiher | : Unknown |
Total Pages | : 444 |
Release | : 1972 |
Genre | : Algebraic topology |
ISBN | : CORNELL:31924001113111 |
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Symposium on Algebraic Topology in Honor of Jose Adem
Author | : Samuel Gitler,José Adem |
Publsiher | : American Mathematical Soc. |
Total Pages | : 357 |
Release | : 1982 |
Genre | : Mathematics |
ISBN | : 9780821850107 |
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