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Matematicheskie Zametki, 2018, Volume 104, Issue 2, Pages 265–272
DOI: https://doi.org/10.4213/mzm10584 (Mi mzm10584) 		 
Normality in Free Topological Groups

O. I. Pavlov

Peoples Friendship University of Russia, Moscow
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DOI: https://doi.org/10.4213/mzm10584
Abstract: It is shown that, under the assumption of the continuum hypothesis, the normality of all finite powers of a topological space does not imply the normality of its free topological group.
Keywords: free topological group, normal space, strongly collectionwise normal space, countably compact space, pseudocompact space, inductive limit, HFD-set.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-05369
Received: 23.06.2014
Revised: 31.12.2017
English version:
Mathematical Notes, 2018, Volume 104, Issue 2, Pages 271–277
DOI: https://doi.org/10.1134/S0001434618070283
Bibliographic databases:
Document Type: Article
UDC: 515.122
Language: Russian
Citation: O. I. Pavlov, “Normality in Free Topological Groups”, Mat. Zametki, 104:2 (2018), 265–272; Math. Notes, 104:2 (2018), 271–277
Citation in format AMSBIB
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