Counting Fixed Points

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Oct 1982Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 86, page 341 (issn: 0002-9939,

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Authors: Rosenholtz, Ira;

doi: 10.2307/2043410 , 10.1090/s0002-9939-1982-0667303-6

Counting Fixed Points

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Abstract

In this paper, we develop a machine which enables us to predict, in many cases, the exact number of fixed points of a local diffeomorphism. Though much more general, our technique applies in particular to locally expansive maps on compact, connected, orientable differentiable manifolds.

Keywords

Lefschetz number, local expansions, Fixed-point theorems, Dynamical systems with hyperbolic behavior, Fixed-point theorems on manifolds, differentiable expanding map

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