Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658872 | Topology and its Applications | 2013 | 9 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Geometry and Topology