Topology / CONCEPT
Disjoint compact copy towers
A tower of nonempty compact sets with two disjoint copies at every step forces disjoint infinite closed homeomorphic subspaces.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES1
PROOF DEPTH0
DOCUMENT LINKS0
A compact binary-copy tower contains two infinite closed copies
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
- Actual support and measure fidelitystructural-affinity · Closed
- Continuous finite images on the actual CH limitstructural-affinity · Closed
- Intrinsic continuous-map Dirac capturestructural-affinity · Closed
- One clopen for every signed liftstructural-affinity · Closed
- Reindexed actual signed lawsstructural-affinity · Closed
- Same actual events on the literal realizationstructural-affinity · Closed
- Signed endpoints of the actual ordinal historystructural-affinity · Closed
- Synchronized ambient clopen supportsstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance