Scharlemann's manifold is standard
Selman Akbulut
math.GTarXiv:math/9712255
Abstract
In his 1974 thesis, Martin Scharlemann constructed a fake homotopy equivalence from a closed smooth manifold f:Q -> S3 x S1 # S2 x S2 and asked whether the manifold Q itself is diffeomorphic to S3 x S1 # S2 x S2. Here we answer this question affirmatively.
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