Rank as a function of measure
classification
🧮 math.DS
keywords
rankfunctiontopologicalcertainclassdynamicalestablishexact
read the original 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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