M. Doležal

activity

20142024

most citedPolish spaces of Banach spaces

8 citations · 11 across the 4 of their papers we have counts for

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3 papers · 1 filter

math.FA2022★ 3 cited

Polish spaces of Banach spaces. Complexity of isometry and isomorphism classes

Marek Cúth, Martin Doležal, Michal Doucha +1

We study the complexities of isometry and isomorphism classes of separable Banach spaces in the Polish spaces of Banach spaces recently introduced and investigated by the authors i…

math.FA2019★ 8 cited

Polish spaces of Banach spaces

Marek Cúth, Martin Doležal, Michal Doucha +1

We present and thoroughly study natural Polish spaces of separable Banach spaces. These spaces are defined as spaces of norms, resp. pseudonorms, on the countable infinite-dimensio…

math.FA2014

Classification of the spaces $C_{p}^{*} (X)$ within the Borel-Wadge hierarchy for a projective space $X$

Martin Doležal, Benjamin Vejnar

We study the complexity of the space $C_{p}^{*} (X)$ of bounded continuous functions with the topology of pointwise convergence. We are allowed to use descriptive set theoretical method…

Polish spaces of Banach spaces. Complexity of isometry and isomorphism classes

Polish spaces of Banach spaces

Classification of the spaces Cp∗​(X) within the Borel-Wadge hierarchy for a projective space X

Classification of the spaces $C_{p}^{*} (X)$ within the Borel-Wadge hierarchy for a projective space $X$