On normality and pointwise paracompactness

Donald Reginald Traylor and James Newton Younglove

Vol. 25 (1968), No. 1, 193–196

DOI: 10.2140/pjm.1968.25.193

Abstract

The primary purpose of this paper is to establish some implications between normality and pointwise paracompactness in Moore spaces. In particular, it is proved that if either of two conjectures, raised by R. W. Heath and E. E. Grace, is true then each normal Moore space is indeed metrizable.

Mathematical Subject Classification

Primary: 54.38

Milestones

Received: 14 April 1967

Published: 1 April 1968