Borel resolvability of compact spaces and their subspaces |
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| Authors: | V. I. Malykhin |
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| Affiliation: | (1) S. Ordzhonikidze Moscow Academy of Management, USSR |
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| Abstract: | The presence of disjoint dense (Borel) subsets in Tychonoff cubes, Borel subspaces of Tychonoff cubes, and dyadic compacta is examined. Several problems are stated. Translated fromMatematicheskie Zametki, Vol. 64, No. 5, pp. 701–712, November, 1998. The author wishes to express his gratitude to V. Shchigolev for fruitful discussion of some questions touched upon in this paper and to the referee for valuable comments and suggestions concerning the style and the content. This research was supported by the Russian Foundation for Basic Research under grant No. 96-01-01619. |
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| Keywords: | resolvability of topological spaces, maximally, Borel Baire resolvable topological spaces, Borel,A-,G δ - F σ -sets in Tychonoff cubes,A-,CA-,PCA- CPCA-sets in compact spaces, dyadic compactum, perfectly normal compact space, Baire space, dispersion character |
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