Examples of quasitopological groups

Arhangeliski Alexandr; Choban Mitrofan

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2023-08-22 19:13

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ARHANGELISKI, Alexandr, CHOBAN, Mitrofan. Examples of quasitopological groups. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2013, nr. 2-3(73), pp. 111-118. ISSN 1024-7696.

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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica

Numărul 2-3(73) / 2013 / ISSN 1024-7696 /ISSNe 2587-4322

Examples of quasitopological groups

Pag. 111-118

Arhangeliski Alexandr¹, Choban Mitrofan²

¹ Lomonosov Moscow State University,
² Tiraspol State University

Disponibil în IBN: 25 februarie 2014

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Rezumat

In this paper we construct several examples of completely regular submetrizable quasitopological groups with slightly different combinations of properties,in particular, a countable quasitopological group G with countable -weight, countable tightness, countable -character, but not first-countable, and a countable quasitopo-logical group P with countable -weight, countable tightness, but of uncountable-character.

Cuvinte-cheie
Quasitopological group, pi-base, delta-character, tightness

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