When is a LOTS densely orderable? (Q1120144)
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scientific article; zbMATH DE number 4100162
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | When is a LOTS densely orderable? |
scientific article; zbMATH DE number 4100162 |
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When is a LOTS densely orderable? (English)
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1988
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The authors obtained conditions under which a linearly ordered topological space (LOTS) can be reordered without jumps, that is to say under which exists a dense order inducing the same topology. If a LOTS X has these conditions and whose set of jumps is discrete, then there exists a dense order on X inducing the same topology (and X has a connected ordered compactification). Similar results are shown for a LOTS whose set of jumps is countable or \(\sigma\)-discrete and for a metrizable LOTS.
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dense ordering
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jumps
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connected ordered compactification
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