Calculus of Variations and Geometric Measure Theory

J. Á. Jaramillo - E. Le Donne - T. Rajala

Restricting open surjections

created by ledonne on 14 Sep 2018


Accepted Paper

Inserted: 14 sep 2018
Last Updated: 14 sep 2018

Journal: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
Year: 2018


We show that any continuous open surjection from a complete metric space to another metric space can be restricted to a surjection for which the domain has the same density character as the target. This improves a recent result of Aron, Jaramillo and Le Donne.

Tags: GeoMeG