Compactification of a map which is mapped to itself

Details Compactification of a map which is mapped to itself Compactification of a map which is mapped to itself

2002-04-10

arxiv.org/abs/math/0204131v1

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

Mathematics

General Topology

5 pages

Scientific paper

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

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