Zalman I. Balanov: Geometric Methods in Degree Theory for Equivariant Maps
Geometric Methods in Degree Theory for Equivariant Maps
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- Springer Berlin Heidelberg, 08/1996
- Einband: Kartoniert / Broschiert, Paperback
- Sprache: Englisch
- ISBN-13: 9783540615293
- Bestellnummer: 7717684
- Umfang: 148 Seiten
- Sonstiges: VI, 142 p.
- Auflage: 1996
- Copyright-Jahr: 1996
- Gewicht: 239 g
- Maße: 235 x 155 mm
- Stärke: 8 mm
- Erscheinungstermin: 19.8.1996
- Serie: Lecture Notes in Mathematics - Band 1632
Achtung: Artikel ist nicht in deutscher Sprache!
Inhaltsangabe
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.Klappentext
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.