On defining a space by a weak base

Frank Siwiec

Vol. 52 (1974), No. 1, 233–245

DOI: 10.2140/pjm.1974.52.233

Abstract

Arhangel’skii has defined the concepts of a weak base and a g-first countable space (= gf-axiom of countability = weak first axiom of countability). Here a g-second countable space and a g-metrizable space are defined and discussed, in particular in relation to metrizability.

Mathematical Subject Classification 2000

Primary: 54E35

Secondary: 54D50

Milestones

Received: 8 November 1972

Revised: 29 March 1974

Published: 1 May 1974