Definable orthogonality classes in accessible categories are small
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F15%3A00082613" target="_blank" >RIV/00216224:14310/15:00082613 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.4171/JEMS/511" target="_blank" >http://dx.doi.org/10.4171/JEMS/511</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.4171/JEMS/511" target="_blank" >10.4171/JEMS/511</a>
Alternative languages
Result language
angličtina
Original language name
Definable orthogonality classes in accessible categories are small
Original language description
We lower substantially the strength of the assumptions needed for the validity of certain results in category theory and homotopy theory which were known to follow from Vopěnka's principle. We prove that the necessary large-cardinal hypotheses depend onthe complexity of the formulas defining the given classes, in the sense of the Lévy hierarchy.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of the European Mathematical Society
ISSN
1435-9855
e-ISSN
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Volume of the periodical
17
Issue of the periodical within the volume
3
Country of publishing house
CH - SWITZERLAND
Number of pages
41
Pages from-to
549-589
UT code for WoS article
000352496300004
EID of the result in the Scopus database
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