Ultrafilter selection and Corson compacta
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F22%3A00562139" target="_blank" >RIV/67985840:_____/22:00562139 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s13398-022-01317-2" target="_blank" >https://doi.org/10.1007/s13398-022-01317-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13398-022-01317-2" target="_blank" >10.1007/s13398-022-01317-2</a>
Alternative languages
Result language
angličtina
Original language name
Ultrafilter selection and Corson compacta
Original language description
We study the question which Boolean algebras have the property that for every generating set there is an ultrafilter selecting maximal number of its elements. We call it the ultrafilter selection property. For cardinality ℵ1 the property is equivalent to the fact that the space of ultrafilters is not Corson compact. We also consider the pointwise topology on a Boolean algebra, proving a result on the Lindelöf number in the context of the ultrafilter selection property. Finally, we discuss poset Boolean algebras, interval algebras, and semilattices in the context of ultrafilter selection properties.
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/GF20-22230L" target="_blank" >GF20-22230L: Banach spaces of continuous and Lipschitz functions</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
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
1579-1505
Volume of the periodical
116
Issue of the periodical within the volume
4
Country of publishing house
ES - SPAIN
Number of pages
26
Pages from-to
178
UT code for WoS article
000852506600002
EID of the result in the Scopus database
2-s2.0-85137769597