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Some comments on regular and normal bitopological spaces

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Abstract

Some properties of regular and normal bitopological spaces are established. The classes of sets inheriting the bitopological properties of regularity and normality are found. A theorem on a finite covering of pairwise normal spaces is proved. We also study the behavior of individual multivalued mappings, taking the axioms of bitopological regularity and normality into account.

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Authors and Affiliations

  1. Georgian Technical University, Tbilisi, Georgia

    I. Dochviri

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  1. I. Dochviri
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 12, pp. 1720–1724, December, 2006.

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Dochviri, I. Some comments on regular and normal bitopological spaces. Ukr Math J 58, 1955–1960 (2006). https://doi.org/10.1007/s11253-006-0180-8

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  • DOI: https://doi.org/10.1007/s11253-006-0180-8

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