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Listar por autor "Procházka, Antonín"

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Listar por autor "Procházka, Antonín"

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    Purely 1-unrectifiable metric spaces and locally flat Lipschitz functions 
    Aliaga, Ramón J.; Gartland, Chris; Petitjean, Colin; Procházka, Antonín (American Mathematical Society, 2022-05)
    [EN] We characterize compact metric spaces whose locally flat Lip-schitz functions separate points uniformly as exactly those that are purely 1-unrectifiable, resolving a problem of Weaver. We subsequently use this geometric ...
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    Supports in Lipschitz-free spaces and applications to extremal structure 
    Aliaga, Ramón J.; Pernecká, Eva; Petitjean, Colin; Procházka, Antonín (Elsevier, 2020-09-01)
    [EN] We show that the class of Lipschitz-free spaces over closed subsets of any complete metric space M is closed under arbitrary intersections, improving upon the previously known finite-diameter case. This allows us to ...