View Single Post
huyichen
#1
Oct10-10, 01:04 AM
P: 29
Suppose M and N are smooth manifold with M connected, and F:M->N is a smooth map and its pushforward is zero map for each p in M. Show that F is a constant map.


I just remember from topology, the only continuous functions from connected space to {0,1} are constant functions. With this be useful in solving the problem?
Phys.Org News Partner Science news on Phys.org
New type of solar concentrator desn't block the view
Researchers demonstrate ultra low-field nuclear magnetic resonance using Earth's magnetic field
Asian inventions dominate energy storage systems