Topology / CONCEPT
Existence of total-variation-preserving signed lifts
Every finite signed measure on a Hausdorff Borel quotient of a compact metric space has a total-variation-mass-preserving signed lift.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH1
DOCUMENT LINKS0
Signed lift with equal total variation mass
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Arbitrary signed lifts and weak-star stabilitystructural-affinity · Closed
- Countable joint finite-block fusionstructural-affinity · Closed
- Finite marginals and ordered split geometrystructural-affinity · Closed
- Full signed weak-star convergence from clopen Cauchy datastructural-affinity · Closed
- Measurable selection and compact metric quotient sectionsstructural-affinity · Closed
- Ordered signed columnsstructural-affinity · Closed
- Positive Jordan mass through signed clopen setsstructural-affinity · Closed
- Represented weak-star subsequence compactness for signed measuresstructural-affinity · Closed
- Shadowing of Mittag-Leffler Inverse Limitsstructural-affinity · Closed
- Signed birth enumerationstructural-affinity · Closed
- Signed proper countable limit extensionstructural-affinity · Closed
- Signed reference convergence on the actual closed splitstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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