Microbundles (Ex)

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Exercise 0.1 [Milnor1964, Theorem 2.2].

  1. Let M/var/www/vhost/map.mpim-bonn.mpg.de/tmp/AppWikiTex/tex_uVGabW be a topological manifold. Show that \xi_M : = (M \times M, M, \Delta_M, p_1) is a microbundle.

Exercise 0.2 [Milnor1964, Theorem 2.2].

  1. Let M be a smooth manifold. Show that TM and \xi_M are isomorphic microbundles.


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