Download E-books Equivariant Ordinary Homology and Cohomology (Lecture Notes in Mathematics) PDF

By Steven R. Costenoble, Stefan Waner

Filling a niche within the literature, this booklet takes the reader to the frontiers of equivariant topology, the examine of items with unique symmetries. The dialogue is influenced by means of connection with a listing of instructive “toy” examples and calculations in what's a comparatively unexplored box. The authors additionally supply a studying direction for the first-time reader much less attracted to operating via subtle equipment yet nonetheless wanting a rigorous realizing of the most recommendations. The subject’s classical opposite numbers, traditional homology and cohomology, courting again to the paintings of Henri Poincaré in topology, are calculational and theoretical instruments that are very important in lots of elements of arithmetic and theoretical physics, quite within the examine of manifolds. equally strong instruments were missing, despite the fact that, within the context of equivariant topology. geared toward complicated graduate scholars and researchers in algebraic topology and comparable fields, the publication assumes wisdom of easy algebraic topology and team actions.

 

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