Quasi-\(G_ \delta\)-diagonals and weak \(\sigma\)-spaces in GO-spaces (Q1345357)
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scientific article; zbMATH DE number 729224
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quasi-\(G_ \delta\)-diagonals and weak \(\sigma\)-spaces in GO-spaces |
scientific article; zbMATH DE number 729224 |
Statements
Quasi-\(G_ \delta\)-diagonals and weak \(\sigma\)-spaces in GO-spaces (English)
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21 March 1995
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The principal result of this paper is that a first countable generalized ordered space is quasi-developable if, and only if, it is a weak \(\sigma\)-space. The authors also show that a generalized ordered space that is a weak \(\sigma\)-space is hereditarily paracompact and that such a space is embeddable in the real line if it is either compact or connected.
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