On b-connectedness and b-disconnectedness and their applications

In this paper, by using b-open (=γ-open) sets we study the concept of b-separated sets. With this concept we study the notion of b-connected sets and strongly b-connected sets. We give some properties of such concepts with some b-separation axioms and compact spaces. Finally, we construct a new topo...

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Main Authors:	A.A. El-Atik, H.M. Abu Donia, A.S. Salama
Format:	Article
Language:	English
Published:	SpringerOpen 2013-04-01
Series:	Journal of the Egyptian Mathematical Society
Subjects:	b-Separated sets b-Connected sets
Online Access:	http://www.sciencedirect.com/science/article/pii/S1110256X12000466

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record_format	Article
spelling	doaj-1378076232414170a8609236f3f7e71d2020-11-25T02:45:09ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2013-04-01211636710.1016/j.joems.2012.09.003On b-connectedness and b-disconnectedness and their applicationsA.A. El-Atik0H.M. Abu Donia1A.S. Salama2Department of Mathematics, Faculty of Science, Tanta University, Tanta, EgyptDepartment of Mathematics, Faculty of Science, Zagazig University, Zagazig, EgyptDepartment of Mathematics, Faculty of Science, Tanta University, Tanta, EgyptIn this paper, by using b-open (=γ-open) sets we study the concept of b-separated sets. With this concept we study the notion of b-connected sets and strongly b-connected sets. We give some properties of such concepts with some b-separation axioms and compact spaces. Finally, we construct a new topological space on a connected graph.http://www.sciencedirect.com/science/article/pii/S1110256X12000466b-Separated setsb-Connected sets
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	A.A. El-Atik H.M. Abu Donia A.S. Salama
spellingShingle	A.A. El-Atik H.M. Abu Donia A.S. Salama On b-connectedness and b-disconnectedness and their applications Journal of the Egyptian Mathematical Society b-Separated sets b-Connected sets
author_facet	A.A. El-Atik H.M. Abu Donia A.S. Salama
author_sort	A.A. El-Atik
title	On b-connectedness and b-disconnectedness and their applications
title_short	On b-connectedness and b-disconnectedness and their applications
title_full	On b-connectedness and b-disconnectedness and their applications
title_fullStr	On b-connectedness and b-disconnectedness and their applications
title_full_unstemmed	On b-connectedness and b-disconnectedness and their applications
title_sort	on b-connectedness and b-disconnectedness and their applications
publisher	SpringerOpen
series	Journal of the Egyptian Mathematical Society
issn	1110-256X
publishDate	2013-04-01
description	In this paper, by using b-open (=γ-open) sets we study the concept of b-separated sets. With this concept we study the notion of b-connected sets and strongly b-connected sets. We give some properties of such concepts with some b-separation axioms and compact spaces. Finally, we construct a new topological space on a connected graph.
topic	b-Separated sets b-Connected sets
url	http://www.sciencedirect.com/science/article/pii/S1110256X12000466
work_keys_str_mv	AT aaelatik onbconnectednessandbdisconnectednessandtheirapplications AT hmabudonia onbconnectednessandbdisconnectednessandtheirapplications AT assalama onbconnectednessandbdisconnectednessandtheirapplications
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On b-connectedness and b-disconnectedness and their applications

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