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On the functor of order-preserving functionals. (English) Zbl 0962.54009

Let \(O(X)\) be the space of all weakly additive order preserving maps \(C(X)\to \mathbb R\). There is proved that \(O: \text{Comp}\to \text{Comp}\) is a monad on the category of compact Hausdorff spaces.

MSC:

54B30 Categorical methods in general topology
54C35 Function spaces in general topology
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