English

Tukey reduction among analytic directed orders

Logic 2015-02-17 v1

Abstract

This is a survey of recent work on the structure of Tukey reductions among analytic σ\sigma-ideals of compact subsets of compact metric spaces and analytic P-ideals of sets of natural numbers. An attempt is made to organize the results into a unified whole. This organization makes it possible to identify natural unresolved problems. Some new joint results with Stevo Todorcevic are announced.

Cite

@article{arxiv.1502.04426,
  title  = {Tukey reduction among analytic directed orders},
  author = {Sławomir Solecki},
  journal= {arXiv preprint arXiv:1502.04426},
  year   = {2015}
}
R2 v1 2026-06-22T08:30:11.353Z