Approximation by polyhedral \(G\) chains in Banach spaces

DOI10.4171/ZAA/1514zbMath1296.49038OpenAlexW2008585341MaRDI QIDQ399442

Thierry De Pauw

Publication date: 19 August 2014

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1514

zbMATH Keywords

Banach spacesflat normmetric approximation propertynormal Hausdorff masspolyhedral \(G\) chainsrectifiable \(G\) chains

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75)

Related Items (8)

Coefficient groups inducing nonbranched optimal transport ⋮ Chains and forms in compact metric spaces ⋮ Comparing chains in a Banach space ⋮ Undistorted fillings in subsets of metric spaces ⋮ On the existence of mass minimizing rectifiable \(G\) chains in finite dimensional normed spaces ⋮ Homology of Normal Chains and Cohomology of Charges ⋮ Functions of bounded fractional variation and fractal currents ⋮ Lipschitz chain approximation of metric integral currents

Cites Work

• Extensions of Lipschitz maps into Banach spaces
• Charges in middle dimensions
• The deformation theorem for flat chains
• Rectifiable sets in metric and Banach spaces
• Rectifiable and flat <i>G</i> chains in a metric space
• Rectifiable Metric Spaces: Local Structure and Regularity of the Hausdorff Measure
• Analytic Extensions of Differentiable Functions Defined in Closed Sets
• Homology of Normal Chains and Cohomology of Charges
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