Non-Collapse of the Effective Wadge Hierarchy

DOI10.1007/978-3-030-80049-9_40arXiv2105.03335MaRDI QIDQ6367092

Publication date: 7 May 2021

Abstract: We study the recently suggested effective Wadge hierarchy in effective spaces, concentrating on the non-collapse property. Along with hierarchies of sets, we study hierarchies of

k

-partitions which are interesting on their own. In particular, we establish sufficient conditions for the non-collapse of the effective Wadge hierarchy and apply them to some concrete spaces.

Mathematics Subject Classification ID

Theory of computing (68Qxx)

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