Title: The h-principle and totally convex immersions
Speaker: Michael Harrison
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Abstract:
The h-principle is a powerful tool in topology which is used to study spaces of functions with certain distinguished properties (immersions, submersions, k-mersions, embeddings, free maps, etc.). I will discuss some examples of the h-principle and give a neat proof of a special case of the Smale-Hirsch Theorem, using the "removal of singularities" h-principle technique due to Eliashberg and Gromov. Finally, I will define and discuss totally convex immersions and discuss some h-principle statements in this context.Date: Monday, May 07, 2018