trureturingGitHub MATHEMATICAL ATLAS

Topology / CONCEPT

Countable common-stage clopen reflection

A countable family of final clopens in an omega-one profinite inverse limit has exact traces at one proper common stage.

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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES4
PROOF DEPTH1
DOCUMENT LINKS0
THEOREM

Simultaneous exact traces below omega-one

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Shadowing of Mittag-Leffler Inverse LimitsShadowing of Mittag-LefflerInverse LimitsCountable common-stage clopen reflectionCountable common-stage clopenreflectionIntrinsic continuous-map Dirac captureIntrinsic continuous-map DiraccaptureContinuous finite images on the actual CH limitContinuous finite images on theactual CH limitContinuous real tests reflect below omega-oneContinuous real tests reflectbelow omega-oneExact countable signed norm reflectionExact countable signed normreflection
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Lean sourceResearch workspace
Status
Closed
Depth
1
Layer
D5/S3
Domain
Topology
Node ID
D5/S3/Topology/InverseLimit/CountableClopenReflection
Repository path
D5/S3/Topology/InverseLimit/CountableClopenReflection.lean
Truth release
sha256:099187d7dec45101df1543521dfae400188aaa00645a3a61e95e49a3c2be8108
Source commit
535a6648df930c3bfdca8a945bfcebdb0d0e1ec7
Source tree
b898bd4223ba7e28b9490cfb432638d5338589a1

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.