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Realizability is a collection of methods in proof theory used to study constructive proofs and extract additional information from them.

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Are there simplicial spheres with "non-geometric symmetries"?

The answer is negative. Already in dimension 4 there are fake real-projective spaces, which are smooth 4-manifolds homotopy-equivalent but not homeomorphic to $RP^4$. These correspond to smooth free i …
Moishe Kohan's user avatar
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