Geometric Methods in Degree Theory for Equivariant Maps

1996
ISBN: 978-3-540-61529-3
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1632, 142 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 236 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Balanov, Zalman I.

Kushkuley, Alexander M.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie
• Mathematik | Informatik Mathematik Topologie

Inhaltsverzeichnis

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.