Marek Cúth

activity

20112024

most citedOn the structure of Lipschitz-free spaces

47 citations · 225 across the 22 of their papers we have counts for

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Showing 2014Show all

2 papers · 1 filter

math.FA2014★ 29 cited

Lipschitz-free spaces over ultrametric spaces

Marek Cuth, Michal Doucha

We prove that the Lipschitz-free space over a separable ultrametric space has a monotone Schauder basis and is isomorphic to $ℓ_{1}$ . This extends results of A. Dalet using an alt…

math.GN2014★ 1 cited

Characterization of compact monotonically ( $ω$ )-monolithic spaces using system of retractions

Marek Cuth

We prove that a compact space is monotonically Sokolov if and only if it is monotonically $ω$ -monolithic. This gives answers to several questions of R. Rojas-Hernandez and V. V. Tk…

Lipschitz-free spaces over ultrametric spaces

Characterization of compact monotonically (ω)-monolithic spaces using system of retractions

Characterization of compact monotonically ( $ω$ )-monolithic spaces using system of retractions