Difference between revisions of "Cobordism of smooth maps"

From Diffgeom
Jump to: navigation, search
(New page: ==Definition== Suppose <math>M_1, M_2, P</math> are differential manifolds, and <math>f_1:M_1 \to P, f_2:M_2 \to P</math> are smooth maps. Then, a smooth cobordism from <math>f_1<...)
 
m (1 revision)
 
(No difference)

Latest revision as of 19:34, 18 May 2008

Definition

Suppose M_1, M_2, P are differential manifolds, and f_1:M_1 \to P, f_2:M_2 \to P are smooth maps. Then, a smooth cobordism from f_1 to f_2 is the following data:

Note that we may sometimes fix the cobordism between M_1 and M_2, and ask whether we can fill in a function F for the particular cobordism.