Iain R. Aitchison

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WE DESCRIBE a homotopy 4-sphere X4, built with the usual zero and 4-handle and two l-handles and two 2-handles (Figure 28). Of course X4 is homeomorphic to S4 [Freedman] but considerable effort has not led to a proof that X4 is diffeomorphic to S4. X4 has the following virtues: (A) Although it is easy to construct smooth homotopy 4-spheres (e.g. the Gluck(More)
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