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.
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