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arXiv · 2006.00893

The normality of macrocubes and hyperballeans

Igor Protasov·Ksenia Protasova
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Abstract

For a bornology $\mathcal B$ on a cardinal $\kappa$, we prove that the $\mathcal B$-macrocube is normal if and only if $\mathcal B$ has a linearly ordered base. As a corollary, we get that the hyperballean of bounded subsets of an ultradiscrete ballean is not normal. These answer Question 1 from \cite{b2} and Question 14.4 from \cite{b1}.

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Igor Protasov, Ksenia Protasova. 2020-05-29. The normality of macrocubes and hyperballeans. https://arxiv.org/abs/2006.00893

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