Geometric Methods in Degree Theory for Equivariant Maps / Alexander Kushkuley, Zalman Balanov

Date :

Type : Livre / Book

Langue / Language : anglais / English

ISBN : 978-3-540-68726-9

Géométrie différentielle

Analyse globale (mathématiques)

Applications (mathématiques)

Topologie algébrique

Homotopie

Degré topologique

Classification Dewey : 510

Collection : Lecture notes in mathematics / Heidelberg : Springer , 2001-

Relation : Geometric methods in degree theory for equivariant maps / Alexander Kushkuley, Zalman Balanov / Berlin : Springer

Résumé / Abstract : 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.