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Borel chain conditions of Borel posets

2021/07/09 by Ming Xiao, Xiao, Ming
Mathematics · #03E15 #Advanced Combinatorial Mathematics #Advanced Topology and Set Theory #Combinatorics (math.CO) #FOS: Mathematics #Logic (math.LO) #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2107.04250

openalex publication_date 2021/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the coarse classification of partial orderings using chain conditions in the context of descriptive combinatorics. We show that (unlike the Borel counterpart of many other combinatorics), we have a distinct hierarchy of different chain conditions, similar to the classical case.

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