Popov V.V. On collectiwise normality of function spaces

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Popov Vladimir Valentinovich
 
Candidate of Physics and Mathematics, Associate Professor, Chair of Computer Science and Experimental Mathematics, Volgograd State University
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Prospect Universitetsky, 100, 400062 Volgograd, Russian Federation
 
Abstract. It proves, that if X is a Tychonoff space, Y is a compact with a countable base and the space Cp(X, Y) is normal, then it is collectionwise normal.

Keywords: the space of continuous functions, pointwise convergence, normal space, collectionwise normal space, metrizable compact space.

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On collectiwise normality of function spaces by Popov V.V. is licensed under a Creative Commons Attribution 4.0 International License.

Citation in English: Science Journal of Volgograd State University. Mathematics. Physics. №1 (16) 2012 pp. 21-26

 

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