A remark on accessible and axiomatizable categories
Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 2, pp. 411-414
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For categories with equalizers the concepts ``accessible'' and ``axiomatizable'' are equivalent. This results is proved under (in fact, is equivalent to) the large-cardinal Vopěnka's principle.
For categories with equalizers the concepts ``accessible'' and ``axiomatizable'' are equivalent. This results is proved under (in fact, is equivalent to) the large-cardinal Vopěnka's principle.
Classification :
03C99, 18B99
Keywords: accessible category; infinitary logic; Vopěnka's principle
Keywords: accessible category; infinitary logic; Vopěnka's principle
@article{CMUC_1996_37_2_a19,
author = {Ad\'amek, Ji\v{r}{\'\i} and Rosick\'y, Ji\v{r}{\'\i}},
title = {A remark on accessible and axiomatizable categories},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {411--414},
year = {1996},
volume = {37},
number = {2},
mrnumber = {1399015},
zbl = {0849.18005},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1996_37_2_a19/}
}
Adámek, Jiří; Rosický, Jiří. A remark on accessible and axiomatizable categories. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) no. 2, pp. 411-414. http://geodesic.mathdoc.fr/item/CMUC_1996_37_2_a19/