Topological characteristic factors along cubes of minimal systems
Dynamical Systems
2018-09-19 v1
Abstract
In this paper we study the topological characteristic factors along cubes of minimal systems. It is shown that up to proximal extensions the pro-nilfactors are the topological characteristic factors along cubes of minimal systems. In particular, for a distal minimal system, the maximal -step pro-nilfactor is the topological cubic characteristic factor of order .
Keywords
Cite
@article{arxiv.1809.06737,
title = {Topological characteristic factors along cubes of minimal systems},
author = {Fangzhou Cai and Song Shao},
journal= {arXiv preprint arXiv:1809.06737},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1105.3584; text overlap with arXiv:0905.3098, arXiv:1605.01119 by other authors