A note on measure homology

Roberto Frigerio

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arXiv · 1204.6198

A note on measure homology

Roberto Frigerio

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Abstract

Measure homology was introduced by Thurston in order to compute the simplicial volume of hyperbolic manifolds. Berlanga endowed measure homology with a structure of graded locally convex (possibly non-Hausdorff) topological vector space. In this note we completely characterize Berlanga's topology on measure homology of CW-complexes, showing in particular that it is Hausdorff. This answers a question posed by Berlanga.

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Roberto Frigerio. 2012-04-27. A note on measure homology. https://arxiv.org/abs/1204.6198

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