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

Geoffrey Fox and Pedro Morales

Vol. 64 (1976), No. 1, 137–143

DOI: 10.2140/pjm.1976.64.137

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 k₃-space by the authors and the known multifunction Ascoli theorems of Mancuso and of Smithson.

Mathematical Subject Classification 2000

Primary: 54C60

Secondary: 54C35

Milestones

Received: 11 June 1975

Published: 1 May 1976