English

The complexity of the classification problem of continua

Logic 2016-04-13 v2 General Topology

Abstract

We prove that the homeomorphism problem for connected compact metric spaces is Borel bireducible with a universal orbit equivalence relation induced by a Borel action of a Polish group.

Keywords

Cite

@article{arxiv.1510.08969,
  title  = {The complexity of the classification problem of continua},
  author = {Cheng Chang and Su Gao},
  journal= {arXiv preprint arXiv:1510.08969},
  year   = {2016}
}