Lifting functors to Eilenberg-Moore category of monad generated by functor CpCp

The second iteration of the contravariant functor of spaces of continuous functions in the pointwise convergence topology is a functorial part of a monad (triple) on the category of Tikhonov spaces. The problem of lifting functors to the Eilenberg-Moore category of this monad is investigated.Published in Ukrayins'kyy Matematychnyy Zhurnal, Vol. 44, No. 9, pp. 1289–1291, September, 1992.