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Finite and $\omega$ -resolvability

Author(s): Alejandro Illanes
Journal: Proc. Amer. Math. Soc. 124 (1996), 1243-1246.
MSC (1991): Primary 54B25
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Abstract: A topological space is $k$ -resolvable $(2\leq k\leq\omega)$ if $X$ has $k$ disjoint dense subsets. In this paper, we prove that if $X$ is $k$ -resolvable for each positive integer $k$ , then $X$ is $\omega$ -resolvable.

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