Anti-Submaximal Spaces

Faculty Science Year: 2025
Type of Publication: ZU Hosted Pages: 1019 - 1037
Authors:
Journal: Journal of applied mathematics & informatics KoreaScience Volume: 43
Keywords : Anti-Submaximal Spaces    
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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