Studying homeomorphisms with certain differentiability properties shows an interesting interplay between various topological and analytical notions. For example, one can ask whether the sign of a Jacobian determines whether the given homeomorphism reverses or preserves orientation. I will talk about what is known about this problem and about some other interesting issues in the area. In particular, I will describe my recent result concerning L^1_loc convergence of Jacobians of Sobolev homeomorphism and link it to Federer's area formula for a.e. approximately differentiable homeomorphisms.
Meeting Id: 966 3997 8431 Password: 268545