-Generalized b- Closed Sets in Topological Spaces

     In this paper we introduce a new class of sets called -generalized b- closed (briefly gb closed) sets. We study some of its basic properties. This class of sets is strictly placed between the class of gp- closed sets and the class of gsp- closed sets. Further the notion of b- space is introduc...

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Main Author: A.K. Al-Obiadi
Format: Article
Language:English
Published: University of Baghdad 2017-05-01
Series:Ibn Al-Haitham Journal for Pure and Applied Sciences
Subjects:
Online Access:https://jih.uobaghdad.edu.iq/index.php/j/article/view/807
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author A.K. Al-Obiadi
author_facet A.K. Al-Obiadi
author_sort A.K. Al-Obiadi
collection DOAJ
description      In this paper we introduce a new class of sets called -generalized b- closed (briefly gb closed) sets. We study some of its basic properties. This class of sets is strictly placed between the class of gp- closed sets and the class of gsp- closed sets. Further the notion of b- space is introduced and studied. 2000 Mathematics Subject Classification: 54A05  
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spelling doaj.art-2b61f221e0eb4ecea6c5fc301df4352c2022-12-22T02:25:14ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072017-05-01243-Generalized b- Closed Sets in Topological SpacesA.K. Al-Obiadi      In this paper we introduce a new class of sets called -generalized b- closed (briefly gb closed) sets. We study some of its basic properties. This class of sets is strictly placed between the class of gp- closed sets and the class of gsp- closed sets. Further the notion of b- space is introduced and studied. 2000 Mathematics Subject Classification: 54A05   https://jih.uobaghdad.edu.iq/index.php/j/article/view/807: b- open set, regular open set, -generalized b- closed set.
spellingShingle A.K. Al-Obiadi
-Generalized b- Closed Sets in Topological Spaces
Ibn Al-Haitham Journal for Pure and Applied Sciences
: b- open set, regular open set, -generalized b- closed set.
title -Generalized b- Closed Sets in Topological Spaces
title_full -Generalized b- Closed Sets in Topological Spaces
title_fullStr -Generalized b- Closed Sets in Topological Spaces
title_full_unstemmed -Generalized b- Closed Sets in Topological Spaces
title_short -Generalized b- Closed Sets in Topological Spaces
title_sort generalized b closed sets in topological spaces
topic : b- open set, regular open set, -generalized b- closed set.
url https://jih.uobaghdad.edu.iq/index.php/j/article/view/807
work_keys_str_mv AT akalobiadi generalizedbclosedsetsintopologicalspaces