Vol. 52, No. 1, 1974

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On defining a space by a weak base

Frank Siwiec

Vol. 52 (1974), No. 1, 233–245
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
Authors
Frank Siwiec