On the functor of order-preserving functionals
We introduce a functor of order-preserving functionals which contains some known functors as subfunctors. It is shown that this functor is weakly normal and generates a monad.
A functional representation of the hyperspace monad
A functional representation of the hyperspace monad, based on the semilattice structure of function space, is constructed.
On extension of functors
A. Chigogidze defined for each normal functor on the category Comp an extension which is a normal functor on the category Tych. We consider this extension for any functor on the category Comp and investigate which properties it preserves from the definition of normal functor. We investigate as well some topological properties of such extension.
Categorical properties of iterated power.
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