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A colimit decomposition for homotopy algebras in Cat
A colimit decomposition homotopy algebras Cat Category Theory
2012/6/25
Badzioch showed that in the category of simplicial sets each homotopy algebra of a Lawvere theory is weakly equivalent to a strict algebra. In seeking to extend this result to other contexts Rosicky o...
Random groups have fixed points on CAT(0) cube complexes
Random groups fixed points on CAT(0) cube complexes
2011/2/22
We prove that a random group has fixed points when it isometrically acts on a CAT(0) cube complex. We do not assume that the action is simplicial.
The K-theoretic Farrell-Jones conjecture for CAT(0)-groups
Farrell-Jones conjecture algebraic K-theory of group rings
2011/2/21
We prove the K-theoretic Farrell-Jones conjecture with (twisted)coefficients for CAT(0)-groups.
Cell-Like Equivalences and Boundaries of CAT(0) Groups
Cell-Like Equivalences Boundaries of CAT(0) Groups
2010/11/11
In 2000, Croke and Kleiner showed that a CAT(0) group G can admit more than one boundary. This contrasted with the situation for word hyperbolic groups, where it was well-known that each such group a...