Internal normality and internal compactness |
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| Authors: | David Chodounský |
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| Affiliation: | a Charles University, Faculty of Mathematics and Physics, Department of Math. Logic, Malostranské nám. 20, 118 00 Praha 1, Czech Republic
b Charles University, Faculty of Mathematics and Physics, Department of Math. Analysis, Sokolovská 83, 186 75 Praha 8, Czech Republic |
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| Abstract: | This text contains an example which presents a way to modify any Dowker space to get a normal space X such that X×[0,1] is not κ-normal, and a theorem implying the existence of a non-Tychonoff space which is internally compact in a larger regular space. It gives answers to several questions by Arhangel'skii [A.V. Arhangel'skii, Relative normality and dense subspaces, Topology Appl. 123 (2002) 27-36]. |
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| Keywords: | 54B05 54D15 54D30 54G20 |
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