Paracompact C-scattered spaces

Louis M. Friedler, Harold W. Martin and Scott Warner Williams

Vol. 129 (1987), No. 2, 277–296

DOI: 10.2140/pjm.1987.129.277

Abstract

Telgársky calls a topological space C-scattered when each of its non-empty closed sets contains a compact set with non-empty relative interior. With respect to infinite products, hyperspaces, and the partially ordered set of compactifications, we study the class of paracompact C-scattered spaces and two of its subclasses, MacDonald and Willard’s A′-spaces and A-spaces.

Mathematical Subject Classification 2000

Primary: 54D18, 54D18

Secondary: 54B20, 54D35

Milestones

Received: 20 July 1984

Published: 1 October 1987