A note on Arhangelskii's inequality (Q1098129)
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scientific article; zbMATH DE number 4036696
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on Arhangelskii's inequality |
scientific article; zbMATH DE number 4036696 |
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A note on Arhangelskii's inequality (English)
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1987
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A well-known method is applied to show that, if X is a Hausdorff space then Shapirovskij's inequality \(| X| \leq \exp (L(X)\cdot \psi (X)\cdot t(X))\) can be improved to \(| X| \leq \exp (qL(X)\cdot S\psi (X)\cdot t(X))\), where qL(X) and \(S\psi\) (X) are quasi-Lindelöf number and a strong pseudocharacter of X, resp.
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cardinal inequality
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tightness
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quasi-Lindelöf number
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strong pseudocharacter
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