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Countable Fréchetα 1-spaces may be first countable

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Abstract

It is shown to be consistent that countable, Fréchet,α 1-spaces are first countable. The result is obtained by using a countable support iteration of proper partial orders of lengthω 2.

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Authors and Affiliations

  1. Department of Mathematics, York University, 4700 Keele Street, M3J 1P3, North York, Ontario, Canada

    Alan Dow & Juris Stepräns

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  1. Alan Dow
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  2. Juris Stepräns
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The research of both authors is partially supported by NSERC

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Dow, A., Stepräns, J. Countable Fréchetα 1-spaces may be first countable. Arch Math Logic 32, 33–50 (1992). https://doi.org/10.1007/BF01270393

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