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Zbl 0835.54026
Dontchev, Julian
On submaximal spaces. (English)
[J] Tamkang J. Math. 26, No.3, 243-250 (1995). ISSN 0049-2930; ISSN 2073-9826/e

Summary: A topological space $X$ is called submaximal if every dense subset of $X$ is open. In this paper, which is an enlarged version of Section 3 in [{\it R. A. Mahmoud} and {\it D. A. Rose}, ibid. 24, No. 3, 333-339 (1993; Zbl 0824.54006)], we characterize submaximal spaces using various topological notions. We study the connections between submaximal and related spaces as well as improve some results concerning submaximal spaces achieved by Mahmoud and Rose [loc. cit.].

MSC 2000:: *54F65 Topological characterizations of particular spaces
54G05 Extremally disconnected spaces, etc.
54H05 Descriptive set theory (topological aspects)

Keywords: submaximal spaces

Citations: Zbl 0824.54006

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