Topology Atlas Document # ppae-16


Compactification of a map which is mapped to itself

A. Iwanik, L. Janos and F. A. Smith

Proceedings of the Ninth Prague Topological Symposium (2001) pp. 165-169

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

Mathematics Subject Classification. 54H20 54H25.
Keywords. Fixed Point Principle.

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Copyright © 2002 Charles University and Topology Atlas. Published April 2002.