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The discrete parts of approximately decidable sets in Euclidean spaces

✍ Scribed by Armin Hemmerling

Publisher: John Wiley and Sons
Year: 2003
Tongue: English
Weight: 112 KB
Volume: 49
Category: Article
ISSN: 0044-3050
DOI: 10.1002/malq.200310046

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✦ Synopsis

Abstract

It is shown that the classes of discrete parts, A ∩ ℕ^k^, of approximately resp. weakly decidable subsets of Euclidean spaces, A ⊆ ℝ^k^, coincide and are equal to the class of ω‐r. e. sets which is well‐known as the first transfinite level in Ershov's hierarchy exhausting Δ^0^~2~.

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