On \(\sigma\)-products of strong \(\Sigma ^{\#}\)-spaces (Q1088184)
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scientific article; zbMATH DE number 3990342
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(\sigma\)-products of strong \(\Sigma ^{\#}\)-spaces |
scientific article; zbMATH DE number 3990342 |
Statements
On \(\sigma\)-products of strong \(\Sigma ^{\#}\)-spaces (English)
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1986
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It is proved that the class of strong \(\Sigma^{\#}\)-spaces is closed under forming \(\sigma\)-products. Hence, if each \(X_ n\) is a \(\sigma\)- product of paracompact (or Lindelöf) \(\Sigma^{\#}\)-spaces, then \(\prod_{\omega}X_ n\) is a paracompact (or Lindelöf, resp.) \(\Sigma^{\#}\)-space.
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paracompactness
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Lindelöfness
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strong \(\Sigma ^{\#}\)-spaces
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\(\sigma \)-products
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0.8296321034431458
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0.8258324265480042
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