Monads and Realcompactness
We give a quantifier free characterization of realcompactness and ordered realcompactness in terms of monads. We also present simple proofs of some topological facts concerning realcompact spaces.
Sergio Salbany and Todor D. Todorov. "Monads and Realcompactness" Topology and its Applications 56.2 (1994): 99-104.
Available at: http://works.bepress.com/ttodorov/22