Any \(T_1\) space has a continuous poset model (Q837638)
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scientific article; zbMATH DE number 5597568
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Any \(T_1\) space has a continuous poset model |
scientific article; zbMATH DE number 5597568 |
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Any \(T_1\) space has a continuous poset model (English)
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20 August 2009
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The authors study those topological spaces that have continuous models, that is, are homeomorphic to the space of maximal elements of a continuous partially ordered set. Their main result states that each \(T_1\) topological space has a continuous model. Their approach generalizes and modifies a machinery developed by Bennett and Lutzer. They also provide a bitopological characterization of those topological spaces that can be modeled by a continuous poset.
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bitopological spaces
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continuous posets
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maximal point space
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pairwise completely regular spaces
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0.8396944
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0.8375504
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0.8297948
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0.8027638
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0.7993088
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