Some Separation Axioms in Topological Spaces
Neeraj Kumar Tomar, M. C. Sharma, Amit Ujlayan, Fahed Zulfeqarr

TL;DR
This paper introduces new separation axioms in topology based on specific open sets, expanding the classification of topological spaces and exploring their properties.
Contribution
The paper defines novel $ SC^* $ and $ H^* $-separation axioms using specialized open sets, enriching the framework of separation axioms in topology.
Findings
Defined new $ SC^* $-separation axioms including $ C_0 $ and $ C_1 $ variants.
Defined $ H^* $-separation axioms such as $ T_{1/2} $, $ T_b $, and $ T_d $.
Established properties and relationships of spaces satisfying these axioms.
Abstract
In this paper, we introduced the concepts of new separation axioms called -separation axioms and -separation axioms by using and -open sets in topological spaces. The -separation axioms include -, -, weakly -, and weakly - spaces, while the -separation axioms include -, -, and - spaces. Also, we obtained several properties of such spaces.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
