Normal domain representations of topological spaces (Q2743651)
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scientific article; zbMATH DE number 1652349
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Normal domain representations of topological spaces |
scientific article; zbMATH DE number 1652349 |
Statements
21 January 2002
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Scott domains
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topological space
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normal totality
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Normal domain representations of topological spaces (English)
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In this paper Scott domains are considered, i.e. consistent algebraic orders with a least element. The line pursued here is based on the fact that extensional equality corresponds to the meet of two elements being total. This approach has the advantage that it can be adapted to situations where the total elements are not dense. It is proved that every topological space can be represented by a domain with normal totality.
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0.8066970705986023
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0.8060833215713501
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0.7970799803733826
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