Splitting invariants (Ex)
From Manifold Atlas
Revision as of 14:46, 23 March 2012 by Diarmuid Crowley (Talk | contribs)
Prove that two maps are homotopic iff their splitting invariants agree for .
Use the exact sequence
and the fact that the surgery obstruction map
splits the above sequence for . Additionally and the isomorphism is given by the surgery obstruction map.