English

Polish globalization of Polish group partial actions

Logic 2016-12-06 v2

Abstract

Let XX be a separable metrizable space. We establish a criteria for the existence of a metrizable globalization for a given continuous partial action of a separable metrizable group GG on X.X. If GG and XX are Polish spaces, we show that the globalization is also a Polish space. We also show the existence of an universal globalization for partial actions of Polish groups.

Keywords

Cite

@article{arxiv.1602.06433,
  title  = {Polish globalization of Polish group partial actions},
  author = {Hector Pinedo and Carlos Uzcategui},
  journal= {arXiv preprint arXiv:1602.06433},
  year   = {2016}
}
R2 v1 2026-06-22T12:54:20.565Z