English

Arcs, hypercubes, and graphs as quotients of projective Fra\"iss\'e limits

Logic 2021-05-24 v1

Abstract

We establish some basic properties of quotients of projective Fra\"iss\'e limits and exhibit some classes of compact metric spaces that are the quotient of a projective Fra\"iss\'e limit of a projective Fra\"iss\'e family in a finite language. We prove the result for the arcs directly, and by applying some closure properties we obtain all hypercubes and graphs as well.

Keywords

Cite

@article{arxiv.1612.05137,
  title  = {Arcs, hypercubes, and graphs as quotients of projective Fra\"iss\'e limits},
  author = {Gianluca Basso and Riccardo Camerlo},
  journal= {arXiv preprint arXiv:1612.05137},
  year   = {2021}
}