A NOTE ON MEASURE HOMOLOGY
Glasgow mathematical journal, Tome 56 (2014) no. 1, pp. 87-92
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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.
FRIGERIO, ROBERTO. A NOTE ON MEASURE HOMOLOGY. Glasgow mathematical journal, Tome 56 (2014) no. 1, pp. 87-92. doi: 10.1017/S0017089513000098
@article{10_1017_S0017089513000098,
author = {FRIGERIO, ROBERTO},
title = {A {NOTE} {ON} {MEASURE} {HOMOLOGY}},
journal = {Glasgow mathematical journal},
pages = {87--92},
year = {2014},
volume = {56},
number = {1},
doi = {10.1017/S0017089513000098},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089513000098/}
}
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