Sifted Colimits, Strongly Finitary Monads and Continuous Algebras
Category Theory
2023-10-12 v2
Abstract
We characterize strongly finitary monads on categories , and as precisely those preserving sifted colimits. Or, equivalently, enriched finitary monads preserving reflexive coinserters. We study sifted colimits in general enriched categories. For and we characterize varieties of continuous algebras as precisely the monadic categories for strongly finitary monads.
Keywords
Cite
@article{arxiv.2301.05730,
title = {Sifted Colimits, Strongly Finitary Monads and Continuous Algebras},
author = {Jiří Adámek and Matěj Dostál and Jiří Velebil},
journal= {arXiv preprint arXiv:2301.05730},
year = {2023}
}