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The Lelek fan and the Poulsen simplex as Fraissé limits

  1. 1. 0477378 - MU-W 2018 RIV ES eng J - Článek v odborném periodiku
    Kubiś, Wieslaw - Kwiatkowska, A.
    The Lelek fan and the Poulsen simplex as Fraissé limits.
    Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Roč. 111, č. 4 (2017), s. 967-981. ISSN 1578-7303
    Grant CEP: GA ČR(CZ) GAP201/12/0290
    Institucionální podpora: RVO:67985840
    Klíčová slova: Lelek fan * smooth fan * Fraissé limit
    Kód oboru RIV: BA - Obecná matematika
    Obor OECD: Pure mathematics
    Impakt faktor: 1.074, rok: 2017
    https://link.springer.com/article/10.1007%2Fs13398-016-0339-6

    We describe the Lelek fan, a smooth fan whose set of end-points is dense, and the Poulsen simplex, a Choquet simplex whose set of extreme points is dense, as Fraissé limits in certain natural categories of embeddings and projections. As an application we give a short proof of their uniqueness, universality, and almost homogeneity. We further show that for every two countable dense subsets of end-points of the Lelek fan there exists an auto-homeomorphism of the fan mapping one set onto the other. This improves a result of Kawamura, Oversteegen, and Tymchatyn from 1996.
    Trvalý link: http://hdl.handle.net/11104/0273742
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