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A NOTE ON MEASURE HOMOLOGY

Published online by Cambridge University Press:  13 August 2013

ROBERTO FRIGERIO
ROBERTO FRIGERIO*
Affiliation:
Dipartimento di Matematica Università di Pisa Largo B. Pontecorvo 5, Pisa 56127, Italy e-mail: frigerio@dm.unipi.it
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Abstract

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Measure homology was introduced by Thurston (W. P. Thurston, The geometry and topology of 3-manifolds, mimeographed notes (Princeton University Press, Princeton, NJ, 1979)) in order to compute the simplicial volume of hyperbolic manifolds. Berlanga (R. Berlanga, A topologised measure homology, Glasg. Math. J. 50 (2008), 359–369) endowed measure homology with the structure of a graded, locally convex (possibly non-Hausdorff) topological vector space. In this paper 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.

Keywords

55N35
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 56 , Issue 1 , January 2014 , pp. 87 - 92
Copyright
Copyright © Glasgow Mathematical Journal Trust 2013 

References

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