Siimmary. Let z be a monotone prenieaswe on il certnin paving @ ota metric space (X, d ) which is supadditive for metrically separated sets of @. The outer measure pI of type I as defined in ROGER? book [5] hy T iu a metric outer measure and agrees with the metric outer measore lcI1 of (51.
Computability of measurable sets via effective metrics
β Scribed by Yongcheng Wu; Decheng Ding
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 199 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
β¦ Synopsis
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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