Topology / CONCEPT
Measurable selection and compact metric quotient sections
Weak-measurable nonempty closed fibers admit measurable selectors; continuous compact metric quotients have Borel right inverses.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES1
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Kuratowski–Ryll-Nardzewski measurable selection
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Countable joint finite-block fusionstructural-affinity · Closed
- Existence of total-variation-preserving signed liftsstructural-affinity · Closed
- Finite marginals and ordered split geometrystructural-affinity · Closed
- Full signed weak-star convergence from clopen Cauchy datastructural-affinity · Closed
- Positive Jordan mass through signed clopen setsstructural-affinity · Closed
- Represented weak-star subsequence compactness for signed measuresstructural-affinity · Closed
- Signed proper countable limit extensionstructural-affinity · Closed
- Signed reference convergence on the actual closed splitstructural-affinity · Closed
Documents & exposition
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Other authored & advisory relationships
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LIBRARY / RELEASE VERSIONS
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