On g-metrizability

Leslie Foged

Vol. 98 (1982), No. 2, 327–332

DOI: 10.2140/pjm.1982.98.327

Abstract

We show that a regular topological space is g-metrizable if and only if it is weakly first countable and admits a σ-locally finite k-network and that a g-metrizable space need not be g-developable.

Mathematical Subject Classification 2000

Primary: 54E35

Secondary: 54E65

Milestones

Received: 8 February 1980

Revised: 8 October 1980

Published: 1 February 1982