On computability and disintegration

نویسندگان

  • Nathanael Leedom Ackerman
  • Cameron E. Freer
  • Daniel M. Roy
چکیده

We show that the disintegration operator on a complete separable metric space along a projection map, restricted to measures for which there is a unique continuous disintegration, is strongly Weihrauch equivalent to the limit operator Lim. When a measure does not have a unique continuous disintegration, we may still obtain a disintegration when some basis of continuity sets has the Vitali covering property with respect to the measure; the disintegration, however, may depend on the choice of sets. We show that, when the basis is computable, the resulting disintegration is strongly Weihrauch reducible to Lim, and further exhibit a single distribution realizing this upper bound.

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عنوان ژورنال:
  • Mathematical Structures in Computer Science

دوره 27  شماره 

صفحات  -

تاریخ انتشار 2017