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Finite and ω-Resolvability
Proceedings of the American Mathematical Society
Vol. 124, No. 4 (Apr., 1996), pp. 1243-1246
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2161771
Page Count: 4
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A topological space is k-resolvable (2 ≤ k ≤ ω) 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 ω-resolvable.
Proceedings of the American Mathematical Society © 1996 American Mathematical Society