On resolvable and irresolvable spaces (Q689002)
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scientific article; zbMATH DE number 438916
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On resolvable and irresolvable spaces |
scientific article; zbMATH DE number 438916 |
Statements
On resolvable and irresolvable spaces (English)
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11 November 1993
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A topological space \(X\) is called resolvable if there exist two disjoint dense subsets of \(X\), otherwise \(X\) is called irresolvable. In this paper the authors investigate and characterize those spaces in which every open subspace is irresolvable. In addition they provide characterizations of minimal irresolvable topologies and maximal resolvable topologies.
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minimal irresolvable topologies
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maximal resolvable topologies
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