English

Non-Collapse of the Effective Wadge Hierarchy

Logic 2021-05-10 v1

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 kk-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.

Keywords

Cite

@article{arxiv.2105.03335,
  title  = {Non-Collapse of the Effective Wadge Hierarchy},
  author = {Victor Selivanov},
  journal= {arXiv preprint arXiv:2105.03335},
  year   = {2021}
}