English

Equivalence relations invariant under group actions

Logic 2018-10-25 v2 General Topology Group Theory

Abstract

We extend some recent results about bounded invariant equivalence relations and invariant subgroups of definable groups: we show that type-definability and smoothness are equivalent conditions in a wider class of relations than heretofore considered, which includes all the cases for which the equivalence was proved before. As a by-product, we show some analogous results in purely topological context (without direct use of model theory).

Keywords

Cite

@article{arxiv.1602.09009,
  title  = {Equivalence relations invariant under group actions},
  author = {Tomasz Rzepecki},
  journal= {arXiv preprint arXiv:1602.09009},
  year   = {2018}
}

Comments

23 pages, streamlined version

R2 v1 2026-06-22T12:59:59.454Z