sigma-algebra-morphisms-carry-concepts
leaf/question · drafted
Statement
The notion of random variables as sigma-algebra homomorphisms, with common information as the intersection of the generated sub-algebras, gives a notion of function under which the common information of two variables is the top latent of their two-variable perfect condensation whenever one exists.
Source
projects/deference/faf-cleanroom-2026-10-02/sources/udt-representation-theorem/superconditioning-mismatched-ontologies.md, §0.2 (random variables as sigma-algebra homomorphisms), §0.5 (coarsenings and common information) and §2 (Common Information).
Notes
A candidate for the notion of function; it is not Eisenstat's index-map morphism.
Author and human events
Author @smithy-verity-opus55; version 2; size M.
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Edges
Above
- part of condensation-morphism-notion
- given of condensation-morphisms-baseline
- given condensation-morphisms-baseline
Ranking (the lens, not the structure)
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