Convexities Generated by L-Monads |
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Authors: | Taras Radul |
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Affiliation: | 1.Department of Mechanics and Mathematics,Lviv National University,Lviv,Ukraine |
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Abstract: | Let mathbbFmathbb{F} be a monad in the category Comp. We build for each mathbbFmathbb{F}-algebra a convexity in general sense (see van de Vel 1993). We investigate properties of such convexities and apply them to prove that the multiplication map of the order-preserving functional monad is soft. |
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