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math.GT2006
Cohomological dimension of Markov compacta
Alexander Dranishnikov
We rephrase Gromov's definition of Markov compacta, introduce a subclass of Markov compacta defined by one building block and study cohomological dimensions of these compacta. We s…
math.GT2006
Asymptotic Dimension of Discrete Groups
A. Dranishnikov, J. Smith
We extend Gromov's notion of asymptotic dimension of finitely generated groups to all discrete groups. In particular, we extend the Hurewicz type theorem proven in [B-D2] to genera…