Alexander M. Kushkuley, Zalman I. Balanov

Geometric Methods in Degree Theory for Equivariant Maps

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Lecture Notes in Mathematics 1632
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-61529-3
• 1996.
• Seitenzahl: 148
• Erscheinungstermin: 19. August 1996
• Englisch
• Abmessung: 235mm x 155mm x 9mm
• Gewicht: 238g
• ISBN-13: 9783540615293
• ISBN-10: 3540615296
• Artikelnr.: 23402979

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.