English

On intermediate factors of a product of disjoint systems

Dynamical Systems 2025-06-18 v4

Abstract

We consider an intermediate factor situation in two categories: probability measure preserving ergodic theory and compact topological dynamics. In the first we prove a master-key theorem and examine a wide range of applications. In the second we treat the case when one of the systems is distal and then provide some counterexamples.

Keywords

Cite

@article{arxiv.2312.03329,
  title  = {On intermediate factors of a product of disjoint systems},
  author = {Eli Glasner and Benjamin Weiss},
  journal= {arXiv preprint arXiv:2312.03329},
  year   = {2025}
}