Some covering properties and connectedness via Gα -open sets

Ali, Tabarak A.; Esmaeel, R. B.

doi:10.47974/JIM-1659

Open Access Research Article

Some covering properties and connectedness via Gα -open sets

^*Tabarak A. AliCorresponding authortabarakayad314@gmail.comDepartment of MathematicsCollege of Education for Pure Science (Ibn Al-Haithem)University of BaghdadBaghdad, IraqView full profile → , R. B. EsmaeelRana.b.i@ihcoedu.uobaghdad.edu.iq ranamumosa@yahoo.comDepartment of MathematicsCollege of Education for Pure Science (Ibn Al-Haithem)University of BaghdadBaghdad, IraqView full profile →

* Corresponding author · click or hover a name for details

pp. 1691–1698Vol. 26Issue 7October 2023DOI: 10.47974/JIM-1659XML

Published Online:: 29 Nov 2023
Article type:: Research Article
Language:: EN
Article no.:: JIM-1659
Pages:: 1691–1698

Abstract

The novel ideas in grill topological spaces are explored by applying them to the setting of specified sets, where the -open sets are defined. The set’s attributes are investigated, and examples and properties related to this set are provided. The set includes a variety of functions, such as open, closed, and continuous functions. This is the first step in a series of analyses of various topological features of this collection. By studying the new concept Gα -open set and it is properties we created a new concept can be named as connectedness via Gα-open sets and some covering properties.

Keywords

Grill Gα -o sets Gα - compact Space Gα -lindelöff Space connectedness via Gα -open sets

Subject Classifications

Primary 54C10Secondary 54c50

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