# Talk:Fibre homotopy trivial bundles (Ex)

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Revision as of 19:01, 29 May 2012 by Martin Olbermann (Talk | contribs)

We consider 5-dimensional real vector bundles over .
Isomorphism classes of these are given by their clutching function in
Given that is isomorphic to the surjection ,
we see that the vector bundle corresponding to times the generator
has a sphere bundle which is fiber homotopically trivial, so in particular we have
homotopy equivalences