Geometric Methods in Degree Theory for Equivariant Maps

This work introduces conceptually simple geometric ideas based on the existence of fundamental domains for metric G-spaces. A list of the problems discussed includes Borsuk-Ulam type theorems for degrees of equivariant maps in finite and infinite dimensional cases, extensions of equivariant maps and equivariant homotopy classification, genus and G-category, elliptic boundary value problem and equivalence of p-group representations.