On time change equivalence of Borel flows

TL;DR

This paper explores the concept of time change equivalence in Borel multidimensional flows, demonstrating that all free flows are equivalent up to a compressible set, with extensions to non-free flows.

Contribution

It establishes that all free Borel flows are time change equivalent up to a compressible set, extending the understanding of flow equivalence.

Findings

All free flows are time change equivalent up to a compressible set

Extension of results to non-free flows

Provides a framework for classifying Borel flows based on time change equivalence

Abstract

This paper addresses the notion of time change equivalence for Borel multidimensional flows. We show that all free flows are time change equivalent up to a compressible set. An appropriate version of this result for non-free flows is also given.