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@article{1232130,
author = {Bagaria, J. and Casacuberta, Carles and Mathias, A. R. D. and Rosický, Jiří},
article_number = {3},
doi = {http://dx.doi.org/10.4171/JEMS/511},
keywords = {supercompact cardinal; extendible cardinal; Lévy hierarchy; accessible category; reflective subcategory},
language = {eng},
issn = {1435-9855},
journal = {Journal of the European Mathematical Society},
title = {Definable orthogonality classes in accessible categories are small},
volume = {17},
year = {2015}
}
TY - JOUR
ID - 1232130
AU - Bagaria, J. - Casacuberta, Carles - Mathias, A. R. D. - Rosický, Jiří
PY - 2015
TI - Definable orthogonality classes in accessible categories are small
JF - Journal of the European Mathematical Society
VL - 17
IS - 3
SP - 549-589
EP - 549-589
SN - 14359855
KW - supercompact cardinal
KW - extendible cardinal
KW - Lévy hierarchy
KW - accessible category
KW - reflective subcategory
N2 - 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 on the complexity of the formulas defining the given classes, in the sense of the Lévy hierarchy.
ER -
BAGARIA, J., Carles CASACUBERTA, A. R. D. MATHIAS a Jiří ROSICKÝ. Definable orthogonality classes in accessible categories are small. \textit{Journal of the European Mathematical Society}. roč.~17, č.~3, s.~549-589. ISSN~1435-9855. doi:10.4171/JEMS/511. 2015.
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