On 3-topological version of \(\Theta\)-regularity (Q1574352)
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scientific article; zbMATH DE number 1488484
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On 3-topological version of \(\Theta\)-regularity |
scientific article; zbMATH DE number 1488484 |
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On 3-topological version of \(\Theta\)-regularity (English)
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1 September 2002
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Summary: We modify the concept of \(\theta\)-regularity for spaces with two and three topologies. The new, more general property is fully preserved by sums and products. Using some bitopological reductions of this property, \textit{E. Michael}'s theorem for several variants of bitopological paracompactness is proved [Proc. Am. Math. Soc. 4, 831-838 (1953; Zbl 0052.18701)].
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\(\theta\)-regularity
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paracompactness
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