Microbundles (Ex)
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(Created page with "<wikitex>; {{beginthm|Exercise|Milnor1964|Lemma 2.1, Theorem 2.2}} # Let $M$ be a topological manifold. Show that $\xi_M : = (M \times M, M, \Delta_M, p_1)$ is a micro bundle...") |
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# Let $M$ be a topological manifold. Show that $\xi_M : = (M \times M, M, \Delta_M, p_1)$ is a micro bundle. | # Let $M$ be a topological manifold. Show that $\xi_M : = (M \times M, M, \Delta_M, p_1)$ is a micro bundle. | ||
# Let $M$ be a smooth manifold. Show that $TM$ and $\xi_M$ are isomorphic micro bundles. | # Let $M$ be a smooth manifold. Show that $TM$ and $\xi_M$ are isomorphic micro bundles. |
Revision as of 02:28, 28 May 2012
Exercise 0.1 [Milnor1964, Lemma 2.1, Theorem 2.2].
- Let be a topological manifold. Show that is a micro bundle.
- Let be a smooth manifold. Show that and are isomorphic micro bundles.