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Sequential convergences on cyclically ordered groups without Urysohn’s axiom

✍ Scribed by Ján Jakubík

Book ID: 111492995
Publisher: SP Versita
Year: 2008
Tongue: English
Weight: 213 KB
Volume: 58
Category: Article
ISSN: 0139-9918
DOI: 10.2478/s12175-008-0105-0

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✦ Synopsis

In this paper we investigate sequential convergences on a cyclically ordered group G which are compatible with the group operation and with the relation of cyclic order; we do not assume the validity of the Urysohn's axiom. The system conv G of convergences under consideration is partially ordered by means of the set-theoretical inclusion. We prove that conv G is a Brouwerian lattice.

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