| Authors: | Larson, Paul Todorčević, Stevo |
Title: | Katiětov's problem | Journal: | Transactions of the American Mathematical Society | Volume: | 354 | Issue: | 5 | First page: | 1783 | Last page: | 1791 | Issue Date: | 1-Jan-2002 | Rank: | M21 | ISSN: | 0002-9947 | DOI: | 10.1090/S0002-9947-01-02936-1 | Abstract: | In 1948 Miroslav Katětov showed that if the cube X3 of a compact space X satisfies the separation axiom T5 then X must be metrizable. He asked whether X3 can be replaced by X2 in this metrization result. In this note we prove the consistency of this implication. |
Keywords: | Compactness | Forcing | Metrizability | T 5 | Publisher: | American Mathematical Society |
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