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.
