Computability of measurable sets via effective metrics

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Mathematical Logic Quarterly 51 (6):543-559 (2005)
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Abstract

We consider how to represent the measurable sets in an infinite measure space. We use sequences of simple measurable sets converging under metrics to represent general measurable sets. Then we study the computability of the measure and the set operators of measurable sets with respect to such representations

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10.1002/malq.200510008

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