On the collections of everywhere dense sets of finite topological spaces (Q2734672)
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scientific article; zbMATH DE number 1635780
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the collections of everywhere dense sets of finite topological spaces |
scientific article; zbMATH DE number 1635780 |
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27 August 2001
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finite topology
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dense sets
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On the collections of everywhere dense sets of finite topological spaces (English)
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Let \(X\) denote a finite set and let \(B\) be a family of subsets of \(X\). In terms of minimal elements of \(B\) the author gives a solution to the following problem: Given a family \(B\), does there exist a topology \(\tau\) such that \(B\) is the collection of all everywhere dense sets of the space \((X,\tau)\)? The exact statement of the main result is too technical for a brief summary.
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