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An exotic involution of S4
Authors:Selman Akbulut  Robion Kirby
Abstract:CAPPELL and Shaneson 1] construct a family of smooth 4-manifolds which are simple homotopy equivalent to real projective 4-space RP4, but not even smoothly h- cobordant to RP4. (It is possible they are homeomorphic to RP4.) It is natural to ask whether their double covers are S4 or not.
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