Are Chain-Complete Posets Co-wellpowered?

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Authors	JURKA Jan ROSICKÝ Jiří
Year of publication	2022
Type	Article in Periodical
Magazine / Source	Order: A Journal on the Theory of Ordered Sets and its Applications
MU Faculty or unit	Faculty of Science
Citation
Web	https://link.springer.com/article/10.1007%2Fs11083-021-09567-2
Doi	http://dx.doi.org/10.1007/s11083-021-09567-2
Keywords	Chain complete poset; Co-wellpowered category; Locally presentable category
Description	We show that the category CPO of chain-complete posets is not co-wellpowered but that it is weakly co-wellpowered. This implies that CPO is nearly locally presentable.
Related projects:	Injektivita a monády v algebře a topologii