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Compactification of a map which is mapped to itself

2002/04/10 by A. Iwanik, L. Janos, F. A. Smith
Mathematics · #math.GN #msc:54H20 #msc:54H25

paper · pdf

published as Proceedings of the Ninth Prague Topological Symposium, (Prague, 2001), pp. 165--169, Topology Atlas, Toronto, 2002 · 5 pages

arxiv created 2002/04/10 · arxiv updated 2009/11/30

Abstract

We prove that if T: X → X is a selfmap of a set X such that \bigcap \TnX: n∈ N\ is a one-point set, then the set X can be endowed with a compact Hausdorff topology so that T is continuous.

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