The open mapping principle for partial actions of polish groups

TL;DR

This paper extends the classical open mapping principle and Effros' theorem to partial actions of Polish groups, broadening the understanding of group actions in topological dynamics.

Contribution

It introduces an extension of fundamental theorems to the setting of partial group actions of Polish groups, which was not previously established.

Findings

Extended the open mapping principle to partial Polish group actions

Generalized Effros' theorem for partial actions

Provided new tools for analyzing partial group actions

Abstract

We present a extension of the classical open mapping principle and Effros' theorem for Polish group actions to the context of partial group actions.