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General topology and its relations to modern analysis and algebra, IV (Proc. Fourth Prague
Topological Sympos., Prague, 1976), Part B
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proved conjecture (1) and showed that conjectures (2) and (3) cannot be proven false under the standard
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axioms for mathematics (specifically, that the conjectures hold under the
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is characterised by the property that the product with every metrizable
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248:(1986). "Normality of product spaces and Morita's conjectures".
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succeeded in showing that conjectures (2) and (3) are true.
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is normal; thus the conjecture was that the converse holds.
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The answers were believed to be affirmative. Here a
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