RECTIFIABLE AND FLAT G CHAINS IN A METRIC SPACE

Chains, in a complete metric space, which have coefficients in a normed abelian group G are studied. An m dimensional rectifiable chain is the Lipschitz push-forward of a region in ℝ m equipped with a measurable G-valued density. Flat chains are obtained by completion using a certain flat norm on po...

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Bibliographic Details

Published in:	American journal of mathematics Vol. 134; no. 1; pp. 1 - 69
Main Authors:	De Pauw, Thierry, Hardt, Robert
Format:	Journal Article
Language:	English
Published:	Baltimore Johns Hopkins University Press 01.02.2012
Subjects:	Approximation Average linear density Banach space Embeddings Flat chains Homomorphisms Integers Mathematical problems Mathematics Perceptron convergence procedure Separable spaces Theorems
ISSN:	0002-9327, 1080-6377, 1080-6377
Online Access:	Get full text
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