Palestras e Seminários
04/07/2017
16:00
Sala 5004
Palestrante: David Trotman (Aix-Marseille Université)
Seminários de Singularidades
Abstract: A classical result of stratification theory is the 1970 Thom-Mather isotopy theorem along a stratum X, valid for Whitney B-regular stratifications. In 1988 K. Bekka showed that the weaker C-regularity is sufficient. Here we announce that the resulting stratified foliation by copies of X can be chosen so that the tangent spaces vary continuously near X. Also there is a foliation by regular wings with boundary X. A consequence of such a local fibering for C-regular stratifications is the density of the set of strongly topologically stable mappings between two smooth manifolds.
(Joint work with Claudio Murolo and Andrew du Plessis)
