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For a collection \(\mathcal A\) of subsets of a space X, the order of \(\mathcal A\) is defined as follows: Order of a collection when is finite, we define \(\operatorname {ord}\mathcal A = n\) ; otherwise, we write \(\operatorname {ord}\mathcal A = \infty \) .

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Dimensions of Spaces

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  • 发表日期：

    2026年

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  • Katsuro Sakai

摘要

For a collection \(\mathcal A\) of subsets of a space X, the order of \(\mathcal A\) is defined as follows: Order of a collection when is finite, we define \(\operatorname {ord}\mathcal A = n\) ; otherwise, we write \(\operatorname {ord}\mathcal A = \infty \) .