Topology / CONCEPT
Represented weak-star subsequence compactness for signed measures
Compact metric signed-measure sequences have represented weak-star subsequences with the same total-variation bound.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH1
DOCUMENT LINKS0
Actual signed-measure weak-star subsequence supplier
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
- 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
- Measurable selection and compact metric quotient sectionsstructural-affinity · Closed
- Ordered signed columnsstructural-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
Content history
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