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Finite and -resolvability
Authors:Alejandro Illanes
Institution:Instituto de Matematicas Circuito Exterior, Cd. Universitaria Mexico, 04510 D. F. Mexico
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.

Keywords:Resolvable space  $k$-resolvable space
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