Countable Fréchetα 1-spaces may be first countable

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Archive for Mathematical Logic 32 (1):33-50 (1992)
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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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10.1007/bf01270393

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Convergent sequences in topological groups.Michael Hrušák & Alexander Shibakov - 2021 - Annals of Pure and Applied Logic 172 (5):102910.

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Proper Forcing.Saharon Shelah - 1985 - Journal of Symbolic Logic 50 (1):237-239.

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