Mathematics – Geometric Topology
Scientific paper
2010-11-10
Mathematics
Geometric Topology
Minor changes
Scientific paper
There are many "minimax" complexity functions in mathematics: width of a tree
or a link, Heegaard genus of a 3-manifold, the Cheeger constant of a Riemannian
manifold. We define such a function w, "width", on countable (or finite) groups
and show w(Z^k) = k-1.
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