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＜E-Book＞
Geometric Methods in Degree Theory for Equivariant Maps / by Alexander M. Kushkuley, Zalman I. Balanov
(Lecture Notes in Mathematics. ISSN:16179692 ; 1632)

Edition	1st ed. 1996.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	1996
Size	VI, 142 p : online resource
Authors	*Kushkuley, Alexander M author Balanov, Zalman I author SpringerLink (Online service)
Subjects	LCSH:Algebraic topology LCSH:Geometry, Differential LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) FREE:Algebraic Topology FREE:Differential Geometry FREE:Global Analysis and Analysis on Manifolds
Notes	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 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 HTTP:URL=https://doi.org/10.1007/BFb0092822

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