On a topological Ramsey theorem
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F23%3A00569942" target="_blank" >RIV/67985840:_____/23:00569942 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.4153/S0008439522000170" target="_blank" >https://doi.org/10.4153/S0008439522000170</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4153/S0008439522000170" target="_blank" >10.4153/S0008439522000170</a>
Alternative languages
Result language
angličtina
Original language name
On a topological Ramsey theorem
Original language description
We introduce natural strengthenings of sequential compactness, the r-Ramsey property for each natural number r≥1. We prove that metrizable compact spaces are r-Ramsey for all r and give examples of compact spaces that are r-Ramsey but not (r+1)-Ramsey for each r≥1 (assuming Continuum Hypothesis (CH) for all r > 1). Productivity of the r-Ramsey property is considered.
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
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GX20-31529X" target="_blank" >GX20-31529X: Abstract convergence schemes and their complexities</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Canadian Mathematical Bulletin-Bulletin Canadien de Mathematiques
ISSN
0008-4395
e-ISSN
1496-4287
Volume of the periodical
66
Issue of the periodical within the volume
1
Country of publishing house
CA - CANADA
Number of pages
10
Pages from-to
156-165
UT code for WoS article
000772681800001
EID of the result in the Scopus database
2-s2.0-85126627362