Approximation by Polyhedral Chains in Banach Spaces
Thierry De Pauw
Institut de Mathématiques de Jussieu, Université Paris Diderot, Paris, France
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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