Nearly locally presentable categories

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Authors

POSITSELSKI Leonid ROSICKÝ Jiří

Year of publication 2018
Type Article in Periodical
Magazine / Source Theory and Applications of Categories
MU Faculty or unit

Faculty of Science

Citation
Web http://www.tac.mta.ca/tac/volumes/33/10/33-10.pdf
Keywords locally presentable categoriy; nearly presentable object; regular factorization; abelian category; complete partial order
Description We introduce a new class of categories generalizing locally presentable ones. The distinction does not manifest in the abelian case and, assuming Vopěnka's principle, the same happens in the regular case. The category of complete partial orders is the natural example of a nearly locally finitely presentable category which is not locally presentable.
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