The Thom space of is defined to be the quotient space , obtained by taking the disk bundle and collapsing the sphere bundle to a point. Notice that this makes the Thom space naturally into a based topological space.
Two common forms of notation for the Thom space are and .
The choice of Riemannian metric on does not change the homeomorphism type of , and, by the previous remark, the Thom space can be described without reference to associated disk and sphere bundles.
|Date of creation||2013-03-22 15:40:46|
|Last modified on||2013-03-22 15:40:46|
|Last modified by||antonio (1116)|