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http://dx.doi.org/10.14317/jami.2021.883

ON D-COMPACT TOPOLOGICAL SPACES  

QOQAZEH, HAMZA (Department of Mathematics, Faculty of Arts and Science, Amman Arab University)
AL-QUDAH, YOUSEF (Department of Mathematics, Faculty of Arts and Science, Amman Arab University)
ALMOUSA, MOHAMMAD (Department of Mathematics, Faculty of Arts and Science, Amman Arab University)
JARADAT, ALI (Department of Mathematics, Faculty of Arts and Science, Amman Arab University)
Publication Information
Journal of applied mathematics & informatics / v.39, no.5_6, 2021 , pp. 883-894 More about this Journal
Abstract
The aim of this work is to introduce for the first time the concept of D-set. This is done by defining a special type of cover called a D-cover. we present some results to study the properties of D-compact spaces and their relations with other topological spaces. Several examples are discussed to illustrate and support our main results. Our results extend and generalized many will known results in the literature.
Keywords
Topological space; D-set; D-cover; compact space; D-compact space; D-lindlof space; D-countably compact space; locally indiscrete space; D-continuous function; D- irresolute function;
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