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arXiv · 1206.0235

Rank as a function of measure

Tomasz Downarowicz·Yonatan Gutman·Dawid Huczek
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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)

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Tomasz Downarowicz, Yonatan Gutman, Dawid Huczek. 2012-06-01. Rank as a function of measure. https://arxiv.org/abs/1206.0235

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