Small Dowker spaces

William Albert Roderick Weiss

Vol. 94 (1981), No. 2, 485–492

DOI: 10.2140/pjm.1981.94.485

Abstract

We construct a normal, locally compact, first countable, separable, real compact topological space which is not countabley paracompact. This construction is performed under the (relatively consistent) set-theoretic hypotheses: Martin’s Axiom plus ♢_c(E).

Mathematical Subject Classification 2000

Primary: 54D20

Secondary: 54A35

Milestones

Received: 9 October 1979

Revised: 14 December 1979

Published: 1 June 1981