Open AccessOmega open sets in generalized topological spaces
Author(s) -
Samer Al Ghour,
Wafa Zareer
Publication year - 2016
Publication title -
the journal of nonlinear sciences and applications
Language(s) - English
Resource type - Journals
eISSN - 2008-1901
pISSN - 2008-1898
DOI - 10.22436/jnsa.009.05.93
Subject(s) - mathematics , topological space , open set , omega , topology (electrical circuits) , pure mathematics , combinatorics , physics , quantum mechanics
We extend the notion of omega open set in ordinary topological spaces to generalized topological spaces. We obtain several characterizations of omega open sets in generalized topological spaces and prove that they form a generalized topology. Using omega open sets we introduce characterizations of Lindelöf, compact, and countably compact concepts generalized topological spaces. Also, we generalize the concepts of continuity in generalized topological spaces via omega open sets. c ©2016 All rights reserved.
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