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No hedgehog in the product? (English) Zbl 1090.54024
Summary: Assuming OCA, we shall prove that for some pairs of Fréchet \(\alpha _4\)-spaces \(X,Y\), the Fréchetness of the product \(X\times Y\) implies that \(X\times Y\) is \(\alpha _4\). Assuming MA, we shall construct a pair of spaces satisfying the assumptions of the theorem.

MSC:
54D55 Sequential spaces
54B10 Product spaces in general topology
54G20 Counterexamples in general topology
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