Open AccessON SUBMAXIMAL SPACES
Author(s) -
Julian Dontchev
Publication year - 1995
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.26.1995.4402
Subject(s) - mathematics , topological space , space (punctuation) , section (typography) , topology (electrical circuits) , pure mathematics , discrete mathematics , combinatorics , computer science , operating system
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 [7], we characterize submaximal spaces using various topological notions. We study the connections between submaximal and related spaces as well as we improve some results concerning submaximal space achieved by Mahmoud and Rose in [7].