Thom spaces (Ex)
(Difference between revisions)
m |
m (moved Thom spaces to Thom spaces (Ex)) |
Revision as of 00:33, 27 March 2012
Exercise 0.1. Let be -complexes and let be vector bundles over respectively. Denote by the product bundle over . Find homeomorphisms
Exercise 0.2. Let be the universal oriented vector bundle of rank and let : be a bundle map. Define
Show that for all we have .
Exercise 0.3. Define
and
where is the suspension homomorphism. Show that for all we have .
Question 0.4. Can we do similar things for unoriented manifolds, manifolds with spin structure,...?