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math.MG2009★ 8 cited
Asymptotic dimension, Property A, and Lipschitz maps
M. Cencelj, J. Dydak, A. Vavpetic
It is well-known that a paracompact space X is of covering dimension n if and only if any map f from X to a simplicial complex K can be pushed into its n-skeleton. We use the same…
math.MG2009
A combinatorial approach to coarse geometry
M. Cencelj, J. Dydak, A. Vavpeti\v\{c} +1
Using ideas from shape theory we embed the coarse category of metric spaces into the category of direct sequences of simplicial complexes with bonding maps being simplicial. Two di…