Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4662247 | Annals of Pure and Applied Logic | 2012 | 14 Pages |
Abstract
We have a look at the set of congruences for a stochastic relation; conditions under which the infimum or the supremum of two congruences is a congruence again are investigated. Congruences are based on smooth equivalence relations, and consequences of the observation that the supremum of two smooth relations may fail to be smooth are discussed: analytic spaces are not closed under pushouts, and the set of countably generated σ-algebras is not closed under finite intersections.
Related Topics
Physical Sciences and Engineering
Mathematics
Logic