English

Compact graphings

Combinatorics 2021-02-17 v2

Abstract

Graphings are special bounded-degree graphs on probability spaces, representing limits of graph sequences that are convergent in a local or local-global sense. We describe a procedure for turning the underlying space into a compact metric space, where the edge set is closed and nearby points have nearby graph neighborhoods.

Keywords

Cite

@article{arxiv.1902.09573,
  title  = {Compact graphings},
  author = {László Lovász},
  journal= {arXiv preprint arXiv:1902.09573},
  year   = {2021}
}

Comments

10 pages; improved version of an auxiliary result from arXiv:1709.03179v1