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arXiv:1401.4146 [math.GN]AbstractReferencesReviewsResources

Independence of the metric in the fine $C^0$-topology of a function space

Francisco J. González Acuña

Published 2014-01-16Version 1

We prove that, for any topological space $X$ and any metric space $(Y,d)$, the fine topology on the space of continuous functions from $X$ into $Y$ is independent of the metric $d$.

Comments: This is a translation of the paper "{\em Independencia de la m\'etrica en la $C^0$ topolog\'ia fina de un espacio de funciones}". Vol.\ 3 (1963) pp.\ 29-35.\ Anales del Instituto de Matem\'aticas (Universidad Nacional Aut\'onoma M\'exico). I thank Francisco Marmolejo for writing this translation. 5 pages
Categories: math.GN
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