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- W3027632004 abstract "A natural extension of the Wadge hierarchy is obtained if we consider k-partitions (or even Q-partitions for a countable better quasiorder Q) of the Baire space instead of sets (i.e., 2-partitions). Natural initial segments of the Q-Wadge hierarchy were recently characterised in terms of the so cal led h-quasiorder on suitably iterated Q-labeled countable well founded forests. Though these characterisations are natural and constructive, their definitions are rather long and technical. In this paper, we find clear shorter characterizations as (reducts of) a kind of free structures satisfying some natural axioms. Informally, we provide short and clear axiomatisations of the initial segments." @default.
- W3027632004 created "2020-05-29" @default.
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- W3027632004 date "2020-08-03" @default.
- W3027632004 modified "2023-09-27" @default.
- W3027632004 title "Q-Wadge degrees as free structures" @default.
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- W3027632004 doi "https://doi.org/10.3233/com-180241" @default.
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