Illanes, Alejandro Finite and \(\omega\)-resolvability. (English) Zbl 0856.54010 Proc. Am. Math. Soc. 124, No. 4, 1243-1246 (1996). Modifying terminology of E. Hewitt [Duke Math. J. 10, 309-333 (1943; Zbl 0060.39407), one says for a cardinal \(\kappa\) that a space \(X\) is \(\kappa\)-resolvable if \(X\) admits a family of \(\kappa\)-many pairwise disjoint dense subsets. In this useful, much-cited paper, the author shows that every space which is \(k\)-resolvable for each \(k<\omega\) is \(\omega\)-resolvable. Reviewer: W.W.Comfort (Middletown) Cited in 1 ReviewCited in 14 Documents MSC: 54B05 Subspaces in general topology 54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets) Citations:Zbl 0060.39407 PDFBibTeX XMLCite \textit{A. Illanes}, Proc. Am. Math. Soc. 124, No. 4, 1243--1246 (1996; Zbl 0856.54010) Full Text: DOI References: [1] J. Ceder and T. Pearson, On products of maximally resolvable spaces, Pacific J. Math. 22 (1967), 31 – 45. · Zbl 0153.24201 [2] W. W. Comfort and Li Feng, The union of resolvable spaces is resolvable, Math. Japon. 38 (1993), no. 3, 413 – 414. · Zbl 0769.54002 [3] A. G. El\(^{\prime}\)kin, Resolvable spaces which are not maximally resolvable, Vestnik Moskov. Univ. Ser. I Mat. Meh. 24 (1969), no. 4, 66 – 70 (Russian, with English summary). · Zbl 0183.51204 [4] E. Hewitt, A problem in set-theoretic topology, Duke Math. J. 10 (1943), 309–333. · Zbl 0060.39407 [5] Eric K. van Douwen, Applications of maximal topologies, Topology Appl. 51 (1993), no. 2, 125 – 139. · Zbl 0845.54028 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.