English

Local operations and eventually open actions

Logic 2010-03-18 v1

Abstract

We study continuous actions of Polish groups on Polish spaces. We develop Scott analysis introduced by Hjorth for studying orbit equivalence relations. We define eventually open actions and prove that this property characterizes the actions endowed with a complete system of hereditarily countable invariant structures.

Keywords

Cite

@article{arxiv.1003.3258,
  title  = {Local operations and eventually open actions},
  author = {Barbara Majcher-Iwanow},
  journal= {arXiv preprint arXiv:1003.3258},
  year   = {2010}
}

Comments

24 pages

R2 v1 2026-06-21T14:58:40.786Z