On fragmentable compact lines (Q2424067)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On fragmentable compact lines |
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On fragmentable compact lines (English)
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24 June 2019
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By a compact line, the authors mean a linearly ordered set that is a compact space in the topology generated by the base of open intervals. The main result of the authors states that if a compact line is fragmentable, then it is a Radon-Nikodým compact space. The proof makes use of a characterization of $\sigma$-scattered orders from the literature.
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fragmentability
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Radon-Nikodým compact
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compact line
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