BAGARIA, J., Carles CASACUBERTA, A. R. D. MATHIAS a Jiří ROSICKÝ. Definable orthogonality classes in accessible categories are small. Journal of the European Mathematical Society. 2015, roč. 17, č. 3, s. 549-589. ISSN 1435-9855. Dostupné z: https://dx.doi.org/10.4171/JEMS/511. |
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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}. 2015, roč.~17, č.~3, s.~549-589. ISSN~1435-9855. Dostupné z: https://dx.doi.org/10.4171/JEMS/511.
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