Article ID Journal Published Year Pages File Type
4658872 Topology and its Applications 2013 9 Pages PDF
Abstract

Let X⊂R2 be a compact, simply connected, locally connected set, and let f:X→Y⊂R2 be a homeomorphism isotopic to the identity on X. Generalizing Brouwerʼs plane translation theorem for self-maps of the plane, we prove that f has no recurrent (in particular, no periodic) points, if it has no fixed points.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology