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The Lelek fan and the Poulsen simplex as Fraissé limits

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00477378" target="_blank" >RIV/67985840:_____/17:00477378 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s13398-016-0339-6" target="_blank" >http://dx.doi.org/10.1007/s13398-016-0339-6</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s13398-016-0339-6" target="_blank" >10.1007/s13398-016-0339-6</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    The Lelek fan and the Poulsen simplex as Fraissé limits

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GAP201%2F12%2F0290" target="_blank" >GAP201/12/0290: Topological and geometrical properties of Banach spaces and operator algebras</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2017

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales

  • ISSN

    1578-7303

  • e-ISSN

  • Volume of the periodical

    111

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    ES - SPAIN

  • Number of pages

    15

  • Pages from-to

    967-981

  • UT code for WoS article

    000408424900005

  • EID of the result in the Scopus database

    2-s2.0-85028436789