On mixing actions of locally compact groups

TL;DR

This paper introduces a new metric called the leash-metric that makes the space of mixing actions of a locally compact group into a complete, separable metric space, facilitating analysis of these actions.

Contribution

The paper constructs the leash-metric to analyze the topology of mixing actions of locally compact groups, providing a new framework for their study.

Findings

Leash-metric makes the set of mixing actions a complete separable metric space

Enables rigorous topological analysis of group actions

Facilitates further research in dynamical systems and group actions

Abstract

In this paper, we construct the leash-metric that transforms the set of (partially) mixing actions of a Hausdorff locally compact group with a countable neighborhood base into a complete separable metric space.