| Journal: |
Journal of applied mathematics & informatics
KoreaScience
|
Volume: |
43
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| Abstract: |
In this paper, we introduce and investigate the notion of anti-submaximal
spaces, providing a detailed account of their defining properties.
We examine the relationships between anti-submaximal spaces and
various related structures, including anti-door spaces, anti-extremely disconnected
spaces, and anti-irresolvable spaces. The study is further extended
to the class of anti-Gδ-submaximal spaces by replacing anti-open
sets with anti-Gδ-sets, and their corresponding properties are analyzed.
In addition, we introduce and discuss the concepts of anti-T12
and anti-
TD spaces. Finally, we propose an algorithm and flowchart for identifying
anti-submaximal spaces, accompanied by a visual representation that aids
in conceptual understanding of the framework.
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