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- W4298880847 abstract "The empty set of course contains no computable point. On the other hand, surprising results due to Zaslavskii, Tseitin, Kreisel, and Lacombe assert the existence of NON-empty co-r.e. closed sets devoid of computable points: sets which are `large' in the sense of positive Lebesgue measure. We observe that a certain size is in fact necessary: every non-empty co-r.e. closed real set without computable points has continuum cardinality. This leads us to investigate for various classes of computable real subsets whether they necessarily contain a (not necessarily effectively findable) computable point." @default.
- W4298880847 created "2022-10-02" @default.
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- W4298880847 date "2006-10-13" @default.
- W4298880847 modified "2023-09-23" @default.
- W4298880847 title "Computable Closed Euclidean Subsets with and without Computable Points" @default.
- W4298880847 doi "https://doi.org/10.48550/arxiv.cs/0610080" @default.
- W4298880847 hasPublicationYear "2006" @default.
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