Open AccessOn a type of generalized closed sets
Author(s) -
Dhananjoy Mandal,
M. Mukherjee
Publication year - 2011
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.v30i1.11845
Subject(s) - class (philosophy) , characterization (materials science) , topological space , type (biology) , space (punctuation) , mathematics , pure mathematics , closed set , algebra over a field , discrete mathematics , topology (electrical circuits) , computer science , combinatorics , artificial intelligence , physics , operating system , biology , optics , ecology
The purpose of this paper is to introduce and study a new class of generalized closed sets in a topological space X, defined in terms of a grill G on X. Explicit characterization of such sets along with certain other properties of them are obtained. As applications, some characterizations of regular and normal spaces are achieved by use of the introduced class of sets.
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