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math.GT2009★ 5 cited
Assouad-Nagata dimension of tree-graded spaces
N. Brodskiy, J. Higes
Given a metric space of finite asymptotic dimension, we consider a quasi-isometric invariant of the space called dimension function. The space is said to have asymptotic Assoua…
math.GT2008
Covering maps for locally path-connected spaces
N. Brodskiy, J. Dydak, B. Labuz +1
We define Peano covering maps and prove basic properties analogous to classical covers. Their domain is always locally path-connected but the range may be an arbitrary topological…