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Date: 6-7-2021
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Date: 25-7-2021
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If is a differentiable homotopy sphere of dimension
, then
is homeomorphic to
. In fact,
is diffeomorphic to a manifold obtained by gluing together the boundaries of two closed
-balls under a suitable diffeomorphism (Milnor).
REFERENCES:
Milnor, J. "The Poincaré Conjecture." https://www.claymath.org/millennium/Poincare_Conjecture/Official_Problem_Description.pdf.
Smale, S. "Generalized Poincaré's Conjecture in Dimensions Greater than Four." Ann. Math. 74, 391-406, 1961.
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