English

Cardinal invariants of closed graphs

Logic 2020-03-12 v2

Abstract

We study several cardinal characteristics of closed graphs G on compact metrizable spaces. In particular, we address the question when it is consistent for the bounding number to be strictly smaller than the smallest size of a set not covered by countably many compact G-anticliques. We also provide a descriptive set theoretic characterization of the class of analytic graphs with countable coloring number.

Keywords

Cite

@article{arxiv.1710.08075,
  title  = {Cardinal invariants of closed graphs},
  author = {Francis Adams and Jindrich Zapletal},
  journal= {arXiv preprint arXiv:1710.08075},
  year   = {2020}
}
R2 v1 2026-06-22T22:22:11.537Z