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

Kushkuley, Alexander and Zalman Balanov:

ISBN 10: 3540615296 / ISBN 13: 9783540615293

Editore: Berlin etc.: Springer-Verlag, 1996

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136 pages; 24 cm. Good. Former library copy with usual markings. Apart from that inside clean. Cover slightly used and with label residues. Sprache: Englisch Gewicht in Gramm: 340. Codice articolo 17883

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Titolo: Geometric Methods in Degree Theory for ...

Casa editrice: Berlin etc.: Springer-Verlag

Data di pubblicazione: 1996

Legatura: Softcover/Paperback.

Condizione: Gut

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.