English

A note on measure homology

Geometric Topology 2012-04-30 v1 Algebraic Topology

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.

Cite

@article{arxiv.1204.6198,
  title  = {A note on measure homology},
  author = {Roberto Frigerio},
  journal= {arXiv preprint arXiv:1204.6198},
  year   = {2012}
}

Comments

6 pages

R2 v1 2026-06-21T20:55:41.250Z