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On Σ-subsets of naturals over abelian groups

✍ Scribed by A. N. Khisamiev

Publisher: SP MAIK Nauka/Interperiodica
Year: 2006
Tongue: English
Weight: 204 KB
Volume: 47
Category: Article
ISSN: 0037-4466
DOI: 10.1007/s11202-006-0068-8

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## Abstract We study the structure of Σ^1^~1~ equivalence relations on hyperarithmetical subsets of ω under reducibilities given by hyperarithmetical or computable functions, called h‐reducibility and FF‐reducibility, respectively. We show that the structure is rich even when one fixes the number o