2 papers
math.GT2024
Gluing diffeomorphisms, bi-Lipschitz mappings and homeomorphisms
Paweł Goldstein, Zofia Grochulska, Piotr Hajłasz
Cerf and Palais independently proved a remarkable result about extending diffeomorphisms defined on smooth balls in a manifold to global diffeomorphisms of the manifold onto itself…
math.CA2023
Constructing diffeomorphisms and homeomorphisms with prescribed derivative
Paweł Goldstein, Zofia Grochulska, Piotr Hajłasz
We prove that for any measurable mapping into the space of matrices with positive determinant, there is a diffeomorphism whose derivative equals outside a set of measure le…