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Tukey reduction among analytic directed orders

2015/02/16 by Sławomir Solecki, Solecki, Sławomir
Computer Science · Mathematics · #03E05 #06A07 #Advanced Banach Space Theory #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Logic (math.LO) #math.LO #msc:03E05 #msc:06A07

paper · pdf · doi:10.48550/arxiv.1502.04426

arxiv created 2015/02/16 · openalex publication_date 2015/02/16 · arxiv updated 2015/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is a survey of recent work on the structure of Tukey reductions among analytic σ-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.

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