Geometric Methods in Degree Theory for Equivariant Maps

Alexander M. Kushkuley, Zalman I. Balanov (Autoren)

Buch | Softcover

VI, 142 Seiten

1996 | 1996
Springer Berlin (Verlag)
978-3-540-61529-3 (ISBN)

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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.

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.

Erscheint lt. Verlag	19.8.1996
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VI, 142 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	239 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Algebraische Topologie • Differentialgeometrie • Differenzialgeometrie • Equivariant topology • Homotopie • Homotopy • manifold • Nichteuklidische Geometrie • Nonlinear analysis • Winding number
ISBN-10	3-540-61529-6 / 3540615296
ISBN-13	978-3-540-61529-3 / 9783540615293
Zustand	Neuware