By Steven R. Costenoble,Stefan Waner

Filling a spot within the literature, this booklet takes the reader to the frontiers of equivariant topology, the research of items with unique symmetries. The dialogue is stimulated through connection with a listing of instructive “toy” examples and calculations in what's a comparatively unexplored box. The authors additionally supply a examining course for the first-time reader much less drawn to operating via refined equipment yet nonetheless wanting a rigorous figuring out of the most strategies. The subject’s classical opposite numbers, usual homology and cohomology, relationship 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, rather within the examine of manifolds. equally robust instruments were missing, although, within the context of equivariant topology. geared toward complicated graduate scholars and researchers in algebraic topology and similar fields, the booklet assumes wisdom of uncomplicated algebraic topology and team actions.


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