Abstract
The answer to the question in the title, as given by Gabriel and Ulmer, is well enough known: precisely the locally presentable categories. We prove that the same result holds for mono-locally generated categories, a concept we introduce since we find it more “natural” than that of locally generated categories.
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References
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© 1991 Springer-Verlag
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Adámek, J., Rosický, J. (1991). What are locally generated categories?. In: Carboni, A., Pedicchio, M.C., Rosolini, G. (eds) Category Theory. Lecture Notes in Mathematics, vol 1488. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084209
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DOI: https://doi.org/10.1007/BFb0084209
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