Author	Kushkuley, Alexander. author
Title	Geometric Methods in Degree Theory for Equivariant Maps [electronic resource] / by Alexander Kushkuley, Zalman Balanov
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg, 1996
Connect to	http://dx.doi.org/10.1007/BFb0092822
Descript	VI, 142 p. online resource

The book 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, equivalence of p-group representations. The new results and geometric clarification of several known theorems presented here will make it interesting and useful for specialists in equivariant topology and its applications to non-linear analysis and representation theory

Fundamental domains and extension of equivariant maps -- Degree theory for equivariant maps of finite-dimensional manifolds: Topological actions -- Degree theory for equivariant maps of finite-dimensional manifolds: Smooth actions -- A winding number of equivariant vector fields in infinite dimensional banach spaces -- Some applications

1. Mathematics
2. Global analysis (Mathematics)
3. Manifolds (Mathematics)
4. Differential geometry
5. Algebraic topology
6. Mathematics
7. Algebraic Topology
8. Differential Geometry
9. Global Analysis and Analysis on Manifolds