English

Borel chain conditions of Borel posets

Combinatorics 2023-06-02 v2 Logic

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.

Keywords

Cite

@article{arxiv.2107.04250,
  title  = {Borel chain conditions of Borel posets},
  author = {Ming Xiao},
  journal= {arXiv preprint arXiv:2107.04250},
  year   = {2023}
}