Cleavability of compact sets over linearly ordered spaces and over the class of all linearly ordered spaces (Q1382583)
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scientific article; zbMATH DE number 1134949
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cleavability of compact sets over linearly ordered spaces and over the class of all linearly ordered spaces |
scientific article; zbMATH DE number 1134949 |
Statements
Cleavability of compact sets over linearly ordered spaces and over the class of all linearly ordered spaces (English)
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29 March 1998
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It is proved that a continuum splitted over the class of all linearly ordered spaces is a linearly ordered space. If the continuum power does not exceed \(2^{\mathcal N_0}\), the splittability over the linearly ordered space \(L\) involves the presence of imbedding in \(L\).
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compact splittability
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linearly ordered spaces
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