5 citations · 8 across the 6 of their papers we have counts for
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Borel complexity of isometry classes of spaces with countable compacta
Marek Cúth, Martin Doležal, Ondřej Kurka +1
For every countable compact space , we determine the exact Borel complexity of the isometry class of the Banach space . As a byproduct, we also determine the pre…
The isomorphism class of is not Borel
Ondřej Kurka
We show that the class of all Banach spaces which are isomorphic to is a complete analytic set with respect to the Effros Borel structure of separable Banach spaces. The…
Non-universal families of separable Banach spaces
Ondřej Kurka
We prove that if is a family of separable Banach spaces which is analytic with respect to the Effros-Borel structure and none member of is isometrically universal for a…
Zippin's embedding theorem and amalgamations of classes of Banach spaces
Ondřej Kurka
It was proved by Dodos and Ferenczi that the classes of Banach spaces with a separable dual and of separable reflexive Banach spaces are strongly bounded. In this note, we provide…