Regular cross sections of Borel flows
classification
🧮 math.DS
math.LO
keywords
admitborelcrossflowsonlyadjacentdistancesequivalent
read the original abstract
Any free Borel flow is shown to admit a cross section with only two possible distances between adjacent points. Non smooth flows are proved to be Lebesgue orbit equivalent if and only if they admit the same number of invariant ergodic probability measures.
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