Equivariant ordinary homology and cohomology

• 作者： Costenoble, Steven R., author.
• 其他作者：
  • Waner, Stefan, author.
  • SpringerLink (Online service)
• 其他題名：
  • Lecture notes in mathematics ;
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： Lecture notes in mathematics,2178
• 主題： Homology theory. , Algebraic topology. , Mathematics. , Algebraic Topology. , Manifolds and Cell Complexes (incl. Diff.Topology) , Category Theory, Homological Algebra. , Topological Groups, Lie Groups.
• ISBN： 9783319504483 (electronic bk.) 、 9783319504476 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
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• 摘要註: 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 Poincare 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.
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