OAI/Analysis/KadisonKastler/UnitaryBorelSelection.lean
2 declarations, 0 contain sorry, 0 declared as axioms
Finite-measure unitary selection
The Borel relation is an analytic image of Baire space. Measurable prefix hulls construct a section of its first coordinate for the given finite measure. This is the finite-measure consequence of Kechris, Classical Descriptive Set Theory, Theorems 18.1 and 21.10.
- theorem
OAI.KadisonKastler.exists_finite_borel_selectorline 23 - theorem
OAI.KadisonKastler.publishedUnitaryBorelSelectionline 57Source documentation
Finite-measure selection for a Borel relation with unitary fibers.
theorem publishedUnitaryBorelSelection : PublishedUnitaryBorelSelection.{u,v} := by …