The descriptive set-theoretic complexity of the set of points of continuity of a multi-valued function
In this article we treat a notion of continuity for a multi-valued function $F$ and we compute the descriptive set-theoretic complexity of the set of all $x$ for which $F$ is continuous at $x$. We give conditions under which the latter set is either a $G_\delta$ set or the countable union of $G_\del...
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| Format: | Article |
| Language: | English |
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Logical Methods in Computer Science e.V.
2011-11-01
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| Series: | Logical Methods in Computer Science |
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| Online Access: | https://lmcs.episciences.org/887/pdf |