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- W4387050987 abstract "It is shown that every homotopy 4-disk with boundary 3-sphere is diffeomorphic to the 4-disk, so that every smooth homotopy 4-sphere is diffeomorphic to the 4-sphere. As a consequence, it is also shown that any (smoothly) embedded 3-sphere in the 4-sphere splits the 4-sphere into two components of 4-manifolds which are both diffeomorphic to the 4-ball. The argument used for the proof also shows that any two homotopic diffeomorphisms of the stable 4-sphere are smoothly isotopic if one diffeomorphism allows a local diffeomorphism change, so that they are smoothly concordant and piecewise-linearly isotopic." @default.
- W4387050987 created "2023-09-27" @default.
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- W4387050987 date "2023-09-26" @default.
- W4387050987 modified "2023-09-27" @default.
- W4387050987 title "Smooth Homotopy 4-Sphere" @default.
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- W4387050987 doi "https://doi.org/10.37394/23206.2023.22.76" @default.
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