The isomorphism class of C_0 is not Borel
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00505498" target="_blank" >RIV/67985840:_____/19:00505498 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s11856-019-1851-0" target="_blank" >http://dx.doi.org/10.1007/s11856-019-1851-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11856-019-1851-0" target="_blank" >10.1007/s11856-019-1851-0</a>
Alternative languages
Result language
angličtina
Original language name
The isomorphism class of C_0 is not Borel
Original language description
We show that the class of all Banach spaces which are isomorphic to c0 is a complete analytic set with respect to the Effros Borel structure of separable Banach spaces. The proof employs a recent Bourgain–Delbaen construction by Argyros, Gasparis and Motakis.
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/GA17-00941S" target="_blank" >GA17-00941S: Topological and geometrical properties of Banach spaces and operator algebras II</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Israel Journal of Mathematics
ISSN
0021-2172
e-ISSN
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Volume of the periodical
231
Issue of the periodical within the volume
1
Country of publishing house
IL - THE STATE OF ISRAEL
Number of pages
26
Pages from-to
243-268
UT code for WoS article
000470717200008
EID of the result in the Scopus database
2-s2.0-85062028659