Variants of regularity axioms: Contributions of Indian mathematicians (Q2762354)
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scientific article; zbMATH DE number 1687722
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Variants of regularity axioms: Contributions of Indian mathematicians |
scientific article; zbMATH DE number 1687722 |
Statements
16 June 2002
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completely regular
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regularly open
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regularly closed
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almost regular
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weakly regular
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semi-regular
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minimal regular
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quasi-regular
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decomposition of continuity
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Variants of regularity axioms: Contributions of Indian mathematicians (English)
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The present paper is partly historical and partly a survey of generalizations of regular topological spaces. After the importance of topological spaces was established in the last century, a large number of experiments were made about the suitable separation axioms necessary to prove a particular result. Symmetric generalized topological spaces and nearness spaces showed the importance of the \(R_0\) axiom. Other generalizations of regularity were found to be useful in the study of the decomposition of continuity. This paper stresses the work done by Indian topologists but also gives a comprehensive bibliography.
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0.724999725818634
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