Microbundles (Ex)

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Exercise 0.1 [Milnor1964, Lemma 2.1, Theorem 2.2].

  1. Let M be a topological manifold. Show that \xi_M : = (M \times M, M, \Delta_M, p_1) is a microbundle.
  2. Let M be a smooth manifold. Show that TM and \xi_M are isomorphic microbundles.

References

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