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The diffeomorphism type of certain
Authors:Marc Sanchez   Frederick Wilhelm
Affiliation:4243 Edgewood Place, Riverside, California 92506 ; Department of Mathematics, University of California, Riverside, California 92521-0135
Abstract:In this note we show that the unit tangent bundle of $S^{4}$ is diffeomorphic to the total space of a certain principal $S^{3}$-bundle over $S^{4}$, solving a problem of James and Whitehead.

Keywords:Unit tangent bundle
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