Vol. 88, No. 1, 1980

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Quasimetrizable spaces

Jacob Kofner

Vol. 88 (1980), No. 1, 81–89
Abstract

A construction is given which yields to any quasi-metrizable not non-archimedeanly quasi-metrizable space another quasi-metrizable space which is not σ-orthocompact. It is shown that (σ-)orthocompactness does not imply non-archimedean quasi-metrizability and is neither summable nor multiplicative nor (CH) hereditary in completely regular quasi-metric spaces.

It is proved that quasi-metric spaces are preserved under perfect mappings.

Mathematical Subject Classification 2000
Primary: 54E35
Secondary: 54E15
Milestones
Received: 3 March 1978
Revised: 31 May 1978
Published: 1 May 1980
Authors
Jacob Kofner