Borel Chain Conditions of Borel Posets

Ming Xiao ()
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Ming Xiao: School of Mathematical Sciences, Nankai University, Tianjin 300071, China

Mathematics, 2023, vol. 11, issue 15, 1-8

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 combinatorial notions), we have a strict hierarchy of different chain conditions, similar to the classical case.

Keywords: mathematical logic; set theory; descriptive set theory; descriptive combinatorics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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