Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

Highly regular surjections from Euclidean domains to metric spaces

Jeremy Tyson (Illinois University)

created by magnani on 16 Nov 2008

20 nov 2008

Abstract.

SEMINARIO DI ANALISI

17:00-18:00, Sala Riunioni (Dip. Matematica)

ABSTRACT. We study highly regular Peano type surjections from Euclidean cubes. We prove that every compact quasiconvex doubling metric space is the image of the n-dimensional compact cube under a surjection which is Holder, or Lipschitz if the dimension ``n'' is sufficiently large. As an application we prove that the Heisenberg group, equipped with its Carnot-Caratheodory metric, is the Lipschitz image of R5. This is joint work with Piotr Hajlasz.

Credits | Cookie policy | HTML 5 | CSS 2.1