Geometric Methods in Degree Theory for Equivariant Maps (Lecture Notes in Mathematics, 1632)

Kushkuley, Alexander M.; Balanov, Zalman I.

ISBN 10: 3540615296 / ISBN 13: 9783540615293

Editore: Springer, 1996

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Codice articolo Q-3540615296

Dati bibliografici

• Titolo: Geometric Methods in Degree Theory for Equivariant Maps (Lecture Notes in Mathematics, 1632)
• Editore: Springer
• Data di pubblicazione: 1996
• Lingua: Inglese
• ISBN 10: 3540615296
• ISBN 13: 9783540615293
• Rilegatura: paperback
• Condizione: New
• Peso: 8 once

Descrizione articolo

Riassunto

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.

Contenuti

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.