Degree theory for equivariant maps, the general S1-action

Degree theory for equivariant maps, the general S1-action / Jorge Ize, Ivar Massabo, Alfonso Vignoli.

In this paper, we consider general [italic]S¹-actions, which may differ on the domain and on the range, with isotropy subspaces with one dimension more on the domain. In the special case of self-maps the [italic]S¹-degree is given by the usual degree of the invariant part, while for one parameter [i...

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Bibliographic Details
Main Author: Ize, Jorge, 1946-
Other Authors: Massabo, Ivar, 1947-, Vignoli, Alfonso, 1940-
Format: eBook
Language:English
Published: Providence, R.I. : American Mathematical Society, 1992.
Series:Memoirs of the American Mathematical Society ; no. 481.
Subjects:
Topological degree.
Mappings (Mathematics)
Homotopy groups.
Sphere.
spheres (geometric figures)
MATHEMATICS > Essays.
MATHEMATICS > Pre-Calculus.
MATHEMATICS > Reference.
Homotopy groups
Sphere
Topological degree
Äquivariante Abbildung
Abbildungsgrad
Homotopiegruppe
Kugel
Homotopia.
Online Access:Click for online access
Table of Contents:
  • 1. Preliminaries 2. Extensions of $S^1$-maps 3. Homotopy groups of $S^1$-maps 4. Degree of $S^1$-maps 5. $S^1$-index of an isolated non-stationary orbit and applications 6. Index of an isolated orbit of stationary solutions and applications 7. Virtual periods and orbit index Appendix. Additivity up to one suspension.

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