7 citations · 7 across the 4 of their papers we have counts for
4 papers
New Hausdorff type dimensions and optimal bounds for bilipschitz invariant dimensions
Richárd Balka, Tamás Keleti
We introduce a new family of fractal dimensions by restricting the set of diameters in the coverings in the usual definition of the Hausdorff dimension. Among others, we prove that…
Lipschitz images and dimensions
Richárd Balka, Tamás Keleti
We consider the question which compact metric spaces can be obtained as a Lipschitz image of the middle third Cantor set, or more generally, as a Lipschitz image of a subset of a g…
A Fubini-type theorem for Hausdorff dimension
K. Héra, T. Keleti, A. Máthé
It is well known that a classical Fubini theorem for Hausdorff dimension cannot hold; that is, the dimension of the intersections of a fixed set with a parallel family of planes do…
Hausdorff dimension of unions of affine subspaces and of Furstenberg-type sets
K. Héra, T. Keleti, A. Máthé
We prove that for any and , the union of any nonempty -Hausdorff dimensional family of -dimensional affine subspaces of has Hausdorff dime…