Ultrafilter limits of asymptotic density are not universally measurable
classification
🧮 math.FA
keywords
asymptoticdensitymeasurableultrafilteruniversallyfunctioninducedintegers
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We show that for any nonprincipal ultrafilter $U$ on the positive integers, then probability measure induced by the $U$-limit of asymptotic density is not a universally measurable function.
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