English

Cantor combinatorics and almost finiteness

Dynamical Systems 2018-02-07 v1 Combinatorics

Abstract

In this survey we give a concise introduction to a continuous version of Borel combinatorics. Our approach will have a certain algorithm-theoretic nature and we will give special emphasis to the notion of almost finiteness introduced by Matui as a continuous analogue of Borel hyperfiniteness. We also show how the theory can be used to study spectral convergence for graph Laplacians.

Keywords

Cite

@article{arxiv.1802.01908,
  title  = {Cantor combinatorics and almost finiteness},
  author = {Gabor Elek},
  journal= {arXiv preprint arXiv:1802.01908},
  year   = {2018}
}

Comments

12 pages

R2 v1 2026-06-23T00:12:48.646Z