Did you say Brouwer?

Geometry Topology Seminar
Monday, August 14, 2017 - 2:11pm
1 hour (actually 50 minutes)
Skiles 006
Georgia Tech
We will give different topological very simple statements that seem not to have been noticed, although they are of the level of Brouwer’s fixed point theorem. The main result is: Let F be a compact subset of the manifold M. Assume g:F->M is a continuous map which is the identity on the boundary (or frontier) of F, then the image g(F) contains either F or M\F.