TY  - BOOK
AU  - Costenoble,Steven R.
AU  - Waner,Stefan
ED  - SpringerLink (Online service)
TI  - Equivariant Ordinary Homology and Cohomology
T2  - Lecture Notes in Mathematics,
SN  - 9783319504483
AV  - QA612-612.8 
U1  - 514.2 23
PY  - 2016///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Algebraic topology
KW  - Manifolds (Mathematics)
KW  - Complex manifolds
KW  - Category theory (Mathematics)
KW  - Homological algebra
KW  - Topological groups
KW  - Lie groups
KW  - Algebraic Topology
KW  - Manifolds and Cell Complexes (incl. Diff.Topology)
KW  - Category Theory, Homological Algebra
KW  - Topological Groups, Lie Groups
N1  - 1 RO(G)-graded Ordinary Homology and Cohomology -- 2 Parametrized Homotopy Theory and Fundamental Groupoids -- 3 RO(ΠB)-graded Ordinary Homology and Cohomology
N2  - 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.
UR  - https://doi.org/10.1007/978-3-319-50448-3
ER  -