Every finite complex has the homology of some CAT(0) cubical duality group

Details Every finite complex has the homology of some CAT(0) cubical duality group Every finite complex has the homology of some CAT(0) cubical duality group

2012-02-09

arxiv.org/abs/1202.1872v1

Mathematics

Metric Geometry

8 pages

Scientific paper

For any finite simplicial complex X, we construct a locally CAT(0) cubical
complex T_{X} and an acyclic map t_{X} : T_{X} \to X such that \pi_1(T_X) is a
duality group.

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