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Equivariant Ordinary Homology and Cohomology / / by Steven R. Costenoble, Stefan Waner



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Autore: Costenoble Steven R Visualizza persona
Titolo: Equivariant Ordinary Homology and Cohomology / / by Steven R. Costenoble, Stefan Waner Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016
Edizione: 1st ed. 2016.
Descrizione fisica: 1 online resource (XIV, 294 p. 1 illus.)
Disciplina: 514.23
Soggetto topico: Algebraic topology
Manifolds (Mathematics)
Complex manifolds
Category theory (Mathematics)
Homological algebra
Topological groups
Lie groups
Algebraic Topology
Manifolds and Cell Complexes (incl. Diff.Topology)
Category Theory, Homological Algebra
Topological Groups, Lie Groups
Persona (resp. second.): WanerStefan
Nota di contenuto: 1 RO(G)-graded Ordinary Homology and Cohomology -- 2 Parametrized Homotopy Theory and Fundamental Groupoids -- 3 RO(ΠB)-graded Ordinary Homology and Cohomology.
Sommario/riassunto: 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. .
Titolo autorizzato: Equivariant Ordinary Homology and Cohomology  Visualizza cluster
ISBN: 3-319-50448-7
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910161655203321
Lo trovi qui: Univ. Federico II
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Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 2178