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- Title
ON QUASI P-SPACES AND THEIR APPLICATIONS IN SUBMAXIMAL AND NODEC SPACES.
- Authors
ALIABAD, A. R.; BAGHERI, V.; JAHROMI, M. KARAVAN
- Abstract
A topological space is called submaximal if each of its dense subsets is open and is called nodec if each of its nowhere dense subsets is closed. Here, we study a variety of spaces some of which have already been studied in C(X). Among them are, most importantly, quasi P-spaces and pointwise quasi P-spaces. We obtain some new useful topological characterizations of quasi P-spaces and pointwise quasi P-spaces. Consequently, we obtain a close relation between these latter spaces and submaximal and nodec spaces.
- Subjects
TOPOLOGICAL spaces; SET theory; MATHEMATICAL functions; MAXIMAL ideals; IDEALS (Algebra)
- Publication
Bulletin of the Iranian Mathematical Society, 2017, Vol 43, Issue 3, p835
- ISSN
1018-6301
- Publication type
Article