Bounded resolutions for spaces Cp(X) and a characterization in terms of X
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00541712" target="_blank" >RIV/67985840:_____/21:00541712 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s13398-021-01029-z" target="_blank" >https://doi.org/10.1007/s13398-021-01029-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s13398-021-01029-z" target="_blank" >10.1007/s13398-021-01029-z</a>
Alternative languages
Result language
angličtina
Original language name
Bounded resolutions for spaces Cp(X) and a characterization in terms of X
Original language description
An internal characterization of the Arkhangel’skiĭ-Calbrix main theorem from [4] is obtained by showing that the space Cp(X) of continuous real-valued functions on a Tychonoff space X is K-analytic framed in RX if and only if X admits a nice framing. This applies to show that a metrizable (or cosmic) space X is σ -compact if and only if X has a nice framing. We analyse a few concepts which are useful while studying nice framings. For example, a class of Tychonoff spaces X containing strictly Lindelöf Čech-complete spaces is introduced for which a variant of Arkhangel’skiĭ-Calbrix theorem for σ-boundedness of X is shown.
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/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
2021
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
115
Issue of the periodical within the volume
2
Country of publishing house
ES - SPAIN
Number of pages
15
Pages from-to
90
UT code for WoS article
000634783700001
EID of the result in the Scopus database
2-s2.0-85103380144