Compactification of a map which is mapped to itself

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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.
5 pages

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General Topology, 54H20, 54H25

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http://salesiana.dossiersoluciones.com/handle/123456789/63774

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0204131
 http://arxiv.org/abs/math/0204131
 Proceedings of the Ninth Prague Topological Symposium, (Prague, 2001), pp. 165--169, Topology Atlas, Toronto, 2002

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arXiv