论文标题

宏观动物和高温的正态性

The normality of macrocubes and hyperballeans

论文作者

Protasov, Igor, Protasova, Ksenia

论文摘要

对于红衣主教$κ$上的Bornology $ \ MATHCAL B $,我们证明$ \ Mathcal b $ -macrocube是正常的,并且仅当$ \ \ \ \ m rathcal b $具有线性订购的基础。作为推论,我们明白了超出质量Ballean的有限子集的高温是不正常的。这些答案问题1来自\ cite {b2}和\ cite {b1}的问题14.4。

For a bornology $\mathcal B$ on a cardinal $κ$, 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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