Rank as a function of measure
Dynamical Systems
2012-06-04 v1
Abstract
We establish certain topological properties of rank understood as a function on the set of invariant measures on a topological dynamical system. To be exact, we show that rank is of Young class LU (i.e., it is the limit of an increasing sequence of upper semicontinuous functions)
Keywords
Cite
@article{arxiv.1206.0235,
title = {Rank as a function of measure},
author = {Tomasz Downarowicz and Yonatan Gutman and Dawid Huczek},
journal= {arXiv preprint arXiv:1206.0235},
year = {2012}
}