Measure homology and singular homology are isometrically isomorphic

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Measure Homology and Singular Homology Are Isometrically Isomorphic

Measure homology is a variation of singular homology designed by Thurston in his discussion of simplicial volume. Zastrow and Hansen showed independently that singular homology (with real coefficients) and measure homology coincide algebraically on the category of CW-complexes. It is the aim of this paper to prove that this isomorphism is isometric with respect to the `1-seminorm on singular ho...

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ژورنال

عنوان ژورنال: Mathematische Zeitschrift

سال: 2006

ISSN: 0025-5874,1432-1823

DOI: 10.1007/s00209-005-0905-7