Some Properties of Connectedness in Grill Topological Spaces

 We use the idea of Grill, this study generalized a new sort of linked space like –connected –hyperconnected and investigated its features, as well as the relationship between it and previously described notation. It also developed new sorts of functions, such as hyperconnected space, and identifyi...

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Main Authors: saad sadeq, Esmaeel R.B.
Format: Article
Language:English
Published: University of Baghdad 2022-10-01
Series:Ibn Al-Haitham Journal for Pure and Applied Sciences
Online Access:https://jih.uobaghdad.edu.iq/index.php/j/article/view/2878
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author saad sadeq
Esmaeel R.B.
author_facet saad sadeq
Esmaeel R.B.
author_sort saad sadeq
collection DOAJ
description  We use the idea of Grill, this study generalized a new sort of linked space like –connected –hyperconnected and investigated its features, as well as the relationship between it and previously described notation. It also developed new sorts of functions, such as hyperconnected space, and identifying their relationship, by offering numerous instance and attributes that belong to this set. This set will serve as a starting point for further research into the sets many future possibilities. Also, we use some of the theorems and observations previously studied and relate them to the grill and the Alpha group, and benefit from them in order to obtain new results in this research. We applied the concept of Connected to them and obtained results related to Connected. The sources related to the Connected and Alpha were considered as starting points and an important basis in this research. 
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spelling doaj.art-a518a0a05a234d9bb795263a976e7dda2022-12-22T04:07:22ZengUniversity of BaghdadIbn Al-Haitham Journal for Pure and Applied Sciences1609-40422521-34072022-10-0135410.30526/35.4.2878Some Properties of Connectedness in Grill Topological Spacessaad sadeq0Esmaeel R.B. 1a:1:{s:5:"en_US";s:101:"Mathematical Department /Collage of Education for Pure Science (Ibn Al-Haitham) University of Baghdad";}University of Baghdad  We use the idea of Grill, this study generalized a new sort of linked space like –connected –hyperconnected and investigated its features, as well as the relationship between it and previously described notation. It also developed new sorts of functions, such as hyperconnected space, and identifying their relationship, by offering numerous instance and attributes that belong to this set. This set will serve as a starting point for further research into the sets many future possibilities. Also, we use some of the theorems and observations previously studied and relate them to the grill and the Alpha group, and benefit from them in order to obtain new results in this research. We applied the concept of Connected to them and obtained results related to Connected. The sources related to the Connected and Alpha were considered as starting points and an important basis in this research.  https://jih.uobaghdad.edu.iq/index.php/j/article/view/2878
spellingShingle saad sadeq
Esmaeel R.B.
Some Properties of Connectedness in Grill Topological Spaces
Ibn Al-Haitham Journal for Pure and Applied Sciences
title Some Properties of Connectedness in Grill Topological Spaces
title_full Some Properties of Connectedness in Grill Topological Spaces
title_fullStr Some Properties of Connectedness in Grill Topological Spaces
title_full_unstemmed Some Properties of Connectedness in Grill Topological Spaces
title_short Some Properties of Connectedness in Grill Topological Spaces
title_sort some properties of connectedness in grill topological spaces
url https://jih.uobaghdad.edu.iq/index.php/j/article/view/2878
work_keys_str_mv AT saadsadeq somepropertiesofconnectednessingrilltopologicalspaces
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