Zeros / CONCEPT
Compact Separated Real Continuation
A continuous compact connected family of real polynomials preserves real roots when distinct roots stay uniformly separated.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES2
PROOF DEPTH0
DOCUMENT LINKS0
Real roots persist through a separated family
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
- A simultaneous solution for all global edge equationsstructural-affinity · Closed
- Closed Lower Half-Plane Factor Continuitystructural-affinity · Closed
- Lower Half-Plane Factor Continuitystructural-affinity · Closed
- Monic Analytic Root Labelsstructural-affinity · Closed
- Monic Root Projection Propernessstructural-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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