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
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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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
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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