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On proximities generated by countable families of entourages
- 1.0106902 - MU-W 20040109 RIV CZ eng J - Journal Article
Ivanov, S. - Nedev, S. - Pelant, Jan
On proximities generated by countable families of entourages.
[Proximity generované s početnými systémy okolí.]
Commentationes Mathematicae Universitatis Carolinae. Roč. 45, č. 3 (2004), s. 535-541. ISSN 0010-2628
R&D Projects: GA ČR GA201/03/0933
Institutional research plan: CEZ:AV0Z1019905
Keywords : proximity * metrizable proximity
Subject RIV: BA - General Mathematics
It is shown that any proximity that is generated by a countable family of entourages is sequential. Metrization theorems for proximities are derived.
Je ukázáno, že každá proximita generovaná spočetným systémem okolí, je sekvenciální. Jsou odvozeny metrizační věty pro proximity.
Permanent Link: http://hdl.handle.net/11104/0014074
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