TL;DR
This paper provides an introductory survey of non-Hausdorff separation axioms, focusing on properties between T0 and T1, and their behavior under T0-quotients, to deepen understanding of non-Hausdorff topologies.
Contribution
It offers a comprehensive overview of intermediate separation axioms and explores how T0-quotients influence these properties, filling gaps in existing literature.
Findings
Analysis of properties between T0 and T1
Examination of properties between T1 and Hausdorff
Impact of T0-quotients on separation axioms
Abstract
This note is an introductory survey of non-Hausdorff separation axioms. The main focus is to study properties that are between and , properties between and Hausdorff and how the -quotient change them and the relation between them.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Advanced Banach Space Theory · Fuzzy and Soft Set Theory