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The Lelek fan and the Poulsen simplex as Fraissé limits
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SYSNO ASEP 0477378 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title The Lelek fan and the Poulsen simplex as Fraissé limits Author(s) Kubiś, Wieslaw (MU-W) RID, ORCID, SAI
Kwiatkowska, A. (PL)Source Title Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales, Seria A: Matemáticas. - : Springer - ISSN 1578-7303
Roč. 111, č. 4 (2017), s. 967-981Number of pages 15 s. Language eng - English Country ES - Spain Keywords Lelek fan ; smooth fan ; Fraissé limit Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GAP201/12/0290 GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 UT WOS 000408424900005 EID SCOPUS 85028436789 DOI 10.1007/s13398-016-0339-6 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2018
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