Approximation by Polyhedral Chains in Banach Spaces

  • Thierry De Pauw

    Institut de Mathématiques de Jussieu, Université Paris Diderot, Paris, France

Abstract

In a Banach space with the metric approximation property, each compactly supported rectifiable chain whose boundary is rectifiable as well, is approximatable in the flat norm by a polyhedral chain of nearly the same normal Hausdorff mass.

Cite this article

Thierry De Pauw, Approximation by Polyhedral Chains in Banach Spaces. Z. Anal. Anwend. 33 (2014), no. 3, pp. 311–334

DOI 10.4171/ZAA/1514