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Nonnormal spaces |
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| Authors: | Winfried Just Ol'ga V. Sipacheva Paul J. Szeptycki |
| Affiliation: | Department of Mathematics, Ohio University, Athens, Ohio 45701 ; Chair of General Topology and Geometry, Mechanics and Mathematics Faculty, Moscow State University, 119899 Moscow, Russia ; Department of Mathematics, Ohio University, Athens, Ohio 45701 |
| Abstract: | Examples of spaces  are constructed for which  is not normal but all closed discrete subsets are countable. A monolithic example is constructed in ZFC and a separable first countable example is constructed using  . |
| Keywords: | $C_{p}(X)$ extent normality $diamondsuit$ almost disjoint family $Psi$-space p-ultrafilter Luzin gap |
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