Fell topology on the space of functions with closed graph (Q1809696)
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scientific article; zbMATH DE number 1370601
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fell topology on the space of functions with closed graph |
scientific article; zbMATH DE number 1370601 |
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Fell topology on the space of functions with closed graph (English)
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2 January 2000
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This paper studies the Fell topology on the space \(G(X,Y)\) of all functions from \(X\) into \(Y\) that have closed graphs. The topology on this space is compared to other topologies, including the compact-open topology and those of Kuratowski convergence and continuous convergence. Characterizations are given for separation properties, countability properties and metrizability of \(G(X,R)\) in terms of properties of \(X\).
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function with a closed graph
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Fell topology
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compact-open topology
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locally compact space
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