64 citations · 75 across the 6 of their papers we have counts for
6 papers
The rational Gurarii space and its linear isometry group
Ondřej Kurka, Maciej Malicki
We show that the classes of partial isometries in finite-dimensional polyhedral spaces and in finite-dimensional rational polyhedral spaces do not have the weak amalgamation proper…
Complexity of distances: Theory of generalized analytic equivalence relations
Marek Cúth, Michal Doucha, Ondřej Kurka
We generalize the notion of analytic/Borel equivalence relations, orbit equivalence relations, and Borel reductions between them to their continuous and quantitative counterparts:…
Large separated sets of unit vectors in Banach spaces of continuous functions
Marek Cúth, Benjamin Vejnar, Ondřej Kurka
The paper concerns the problem whether a nonseparable $\C(K)$ space must contain a set of unit vectors whose cardinality equals to the density of $\C(K)$ such that the distances be…
Amalgamations of classes of Banach spaces with a monotone basis
Ondřej Kurka
It was proved by Argyros and Dodos that, for many classes of separable Banach spaces which share some property , there exists an isomorphically universal space that sati…
Notes on the trace problem for separately convex functions
Ondřej Kurka, Dušan Pokorný
We discuss the following question: For a function f of two or more variables which is convex in the directions of coordinate axes, how can its trace g(x) = f(x, x, ..., x) look lik…
On the variation of the Hardy-Littlewood maximal function
Ondřej Kurka
We show that a function of bounded variation satisfies $$ \Var Mf \leq C \Var f $$ where is the centered Hardy-Littlewood maximal function of . Consequently, the…