The range of maps on classical insertion theorems (Q653852)
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scientific article; zbMATH DE number 5990618
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The range of maps on classical insertion theorems |
scientific article; zbMATH DE number 5990618 |
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The range of maps on classical insertion theorems (English)
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19 December 2011
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The author proves that the range \(\mathbb{R}\) in the Dowker-Katětov and Michael insertion theorems can be replaced by any non-trivial separable Banach lattice, see Theorem 2.1. Moreover, a similar theorem for non-separable Banach lattices is given, see Theorem 2.2. These results improve the Dowker-Katětov and Michael insertion theorems, and have extensive use in general topology.
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insertion theorem
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Banach lattice
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topological vector lattice
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