trureturingGitHub MATHEMATICAL ATLAS

Certificates / CONCEPT

Small Doubling in the Klein Bottle Group

Two explicit three-element subsets of the Klein bottle group contradict all three small-doubling conjectures printed in section 6.

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THEOREM

A counterexample containing the identity

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Small Doubling in the Klein Bottle GroupSmall Doubling in the KleinBottle Group
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S0
Domain
Certificates
Node ID
D5/S0/Certificates/Groups/MohanNeetuSmallDoublingRefutation
Repository path
D5/S0/Certificates/Groups/MohanNeetuSmallDoublingRefutation.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
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b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
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37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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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.