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Collectionwise_normal_space entered the ranking for the first time today at position #. This is its highest position ever recorded.
This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-08-24 and was most recently seen on 2026-08-24.
In mathematics, a topological space is called collectionwise normal if for every discrete family Fi (i ∈ I) of closed subsets of there exists a pairwise disjoint family of open sets Ui (i ∈ I), such that Fi ⊆ Ui. Here a family of subsets of is called discrete when every point of has a neighbourhood that intersects at most one of the sets from .
An equivalent definition of collectionwise normal demands that the above Ui (i ∈ I) themselves form a discrete family, which is a priori stronger than pairwise disjoint.
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