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math.CT2023
Varieties of Quantitative or Continuous Algebras (Extended Abstract)
Jiří Adámek, Matěj Dostál, Jiří Velebil
Quantitative algebras are algebras enriched in the category of metric spaces so that all operations are nonexpanding. Mardare, Plotkin and Panangaden introduced vari…
math.CT2023★ 1 cited
Sifted Colimits, Strongly Finitary Monads and Continuous Algebras
Jiří Adámek, Matěj Dostál, Jiří Velebil
We characterize strongly finitary monads on categories , and as precisely those preserving sifted colimits. Or, equivalently, enriched…