Are Chain-Complete Posets Co-wellpowered?

Warning

This publication doesn't include Faculty of Economics and Administration. It includes Faculty of Science. Official publication website can be found on muni.cz.

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