Tangential homotopy equivalences (Ex)
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A homotopy equivalence of closed smooth -manifolds is called tangential if ; i.e. pulls back the tangent bundle of to .
Example 0.1.
- Give an example of a tangential homotopy equivalence which is not homotopic to a diffeomorphism.
- Show that if is a tangential homotopy equivelance, then there is a diffeomorphism