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Resolvability: A selective survey and some new results

✍ Scribed by W.W. Comfort; Salvador Garcia-Ferreira

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
1008 KB
Volume
74
Category
Article
ISSN
0166-8641

No coin nor oath required. For personal study only.

✦ Synopsis

Following guidance from the Organizing Committee, the authors give a brief introduction to the theory of spaces which are resolvable in the sense introduced by Hewitt (1943).

The new results presented here are these. (A) A countably compact regular Hausdorff space without isolated points is w-resolvable--that is, it admits an infinite family of pairwise disjoint dense subsets. (B) Among Tychonoff topologies without isolated points on a fixed set, no pseudocompact topology is maximal.

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