On Minimal and Maximal Regular Open Sets | Zendy

Hisham Mahdi | Zendy; Fadwa M. Nasser | Zendy

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On Minimal and Maximal Regular Open Sets

Author(s) -

Hisham Mahdi,

Fadwa M. Nasser

Publication year - 2017

Publication title -

mathematics and statistics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.149

H-Index - 3

eISSN - 2332-2144

pISSN - 2332-2071

DOI - 10.13189/ms.2017.050205

Subject(s) - mathematics , regular space , space (punctuation) , topological space , type (biology) , open set , discrete mathematics , combinatorics , pure mathematics , computer science , ecology , biology , operating system

The purpose of this paper is to investigate the concepts of minimal and maximal regular open sets and their relations with minimal and maximal open sets. We study several properties of such concepts in a semi-regular space. It is mainly shown that if X is a semi-regular space, then miO(X) = miRO(X). We introduce and study new type of sets called minimal regular generalized closed. A special interest type of topological space called rTmin space is studied and obtain some of its basic properties.

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