A model in which countable Fréchet α1-spaces are first countable

DOI10.1017/S0305004100077847zbMath0691.54016OpenAlexW2142100453MaRDI QIDQ3032982

Alan Dow, Juris Steprāns

Publication date: 1989

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100077847

zbMATH Keywords

Cohen realscountable Fréchet \(\alpha _ 1\)-spacesmodel of set theoryrational perfect set forcing

Mathematics Subject Classification ID

Sequential spaces (54D55) Consistency and independence results in general topology (54A35) Other aspects of forcing and Boolean-valued models (03E40) Model-theoretic forcing (03C25)

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Countable Fréchet \(\alpha_ 1\)-spaces may be first countable ⋮ Selectivity properties of spaces

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