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Katetov's problem |
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| Authors: | Paul Larson Stevo Todorcevic |
| Institution: | Department of Mathematics, University of Toronto, Toronto M5S 3G3, Canada ; C.N.R.S. (7056), Université Paris VII, 75251 Paris Cedex 05, France |
| Abstract: | In 1948 Miroslav Katetov showed that if the cube  of a compact space  satisfies the separation axiom T then  must be metrizable. He asked whether  can be replaced by  in this metrization result. In this note we prove the consistency of this implication. |
| Keywords: | Compactness metrizability T$_{5}$ forcing |
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