Closed ultrafilters and realcompactness

Takesi Isiwata

Vol. 94 (1981), No. 1, 139–149

DOI: 10.2140/pjm.1981.94.139

Abstract

We introduce some conditions which are closely related to closed ultrafilters and establish interconnections among these conditions and characterize realcompactness, almost realcompactness, c-realcompactness and weak-cb^∗-ness ⋯ .

Mathematical Subject Classification 2000

Primary: 54D60

Secondary: 54A99

Milestones

Received: 4 October 1979

Revised: 3 September 1980

Published: 1 May 1981