971 research outputs found
Geodesic flow for CAT(0)-groups
We associate to a CAT(0)-space a flow space that can be used as the
replacement for the geodesic flow on the sphere tangent bundle of a Riemannian
manifold. We use this flow space to prove that CAT(0)-group are transfer
reducible over the family of virtually cyclic groups. This result is an
important ingredient in our proof of the Farrell-Jones Conjecture for these
groups
Cosmic dimensions
Martin's Axiom for -centered partial orders implies that there is a
cosmic space with non-coinciding dimensions.Comment: 2005-11-15: new version, largely rewritte
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