Non-Collapse of the Effective Wadge Hierarchy
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.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2021
- DOI:
- 10.48550/arXiv.2105.03335
- arXiv:
- arXiv:2105.03335
- Bibcode:
- 2021arXiv210503335S
- Keywords:
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- Mathematics - Logic