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Computability of measurable sets via effective metrics |
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| Authors: | Yongcheng Wu Decheng Ding |
| 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. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
| Keywords: | TTE computability measure measurable set effective metric space |