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math.CA2011★ 30 cited
Topological Hausdorff dimension and level sets of generic continuous functions on fractals
Richard Balka, Zoltan Buczolich, Marton Elekes
In an earlier paper (arxiv:1108.4292) we introduced a new concept of dimension for metric spaces, the so called topological Hausdorff dimension. For a compact metric space let…
math.CA2011★ 2 cited
A new fractal dimension: The topological Hausdorff dimension
Richárd Balka, Zoltán Buczolich, Márton Elekes
We introduce a new concept of dimension for metric spaces, the so-called topological Hausdorff dimension. It is defined by a very natural combination of the definitions of the topo…