Non-Hausdorff multifunction generalization of the Kelley-Morse Ascoli theorem

Abstract

The paper generalizes the Kelley-Morse theorem to continuous point-compact multifunction context. The generalization, which is non-Hausdorff, contains the Ascoli theorem for continuous functions on a k 37 space by the authors and the known multifunction Ascoli theorems of Mancuso and of Smithson.