Bounds on the extent of a topological space
The extent $e(X)$ of a topological space $X$ is the supremum of sizes of closed discrete subspaces of $X$. Assuming that $X$ belongs to some class of topological spaces, we bound $e(X)$ by other cardinal characteristics of $X$, for instance Lindel\"of number, spread or density.
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| Main Authors: | , |
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| Format: | Article |
| Language: | deu |
| Published: |
Ivan Franko National University of Lviv
2022-03-01
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| Series: | Математичні Студії |
| Subjects: | |
| Online Access: | http://matstud.org.ua/ojs/index.php/matstud/article/view/274 |
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| Summary: | The extent $e(X)$ of a topological space $X$ is the supremum of sizes of closed discrete subspaces of $X$. Assuming that $X$ belongs to some class of topological spaces, we bound $e(X)$ by
other cardinal characteristics of $X$, for instance Lindel\"of number, spread or density. |
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| ISSN: | 1027-4634 2411-0620 |