The Normality of Products Under Perfect Preimages

Lucas D. O'Brien

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arXiv · 2311.08492

The Normality of Products Under Perfect Preimages

Lucas D. O'Brien

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Abstract

A proof of the following theorem is given, answering an open problem attributed to Kunen: suppose that $T$ is compact and that $Y$ is the image of $X$ under a perfect map, $X$ is normal, and $Y\times T$ is normal. Then $X \times T$ is normal.

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Lucas D. O'Brien. 2023-11-14. The Normality of Products Under Perfect Preimages. https://arxiv.org/abs/2311.08492

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