- collectionwise normal space
- коллективно нормальное пространство
English-Russian scientific dictionary. 2008.
collectionwise normal space
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Collectionwise normal space — In mathematics, a topological space X is called collectionwise normal if for every discrete family Fi (i ∈ I) of closed subsets of X there exists a pairwise disjoint family of open sets Ui (i ∈ I), such that Fi ⊂ Ui. A family of subsets of… … Wikipedia
Collectionwise normal — In mathematics, a topological space X is called collectionwise normal if for every discrete family F i ( i isin; I ) of closed subsets of X there exists a pairwise disjoint family of open sets U i ( i isin; I ), such that F i sub; U i . A family… … Wikipedia
Collectionwise Hausdorff space — In mathematics, in the field of topology, a topological space is said to be collectionwise Hausdorff if given any closed discrete collection of points in the topological space, there are pairwise disjoint open sets containing the points. Every T1 … Wikipedia
Monotonically normal space — In mathematics, a monotonically normal space is a particular kind of normal space, with some special characteristics, and is such that it is hereditarily normal, and any two separated subsets are strongly separated. They are defined in terms of a … Wikipedia
Moore space (topology) — In mathematics, more specifically point set topology, a Moore space is a developable regular Hausdorff space. Equivalently, a topological space X is a Moore space if the following conditions hold: Any two distinct points can be separated by… … Wikipedia
List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… … Wikipedia
Bing metrization theorem — The Bing metrization theorem in topology characterizes when a topological space is metrisable. The theorem states that a topological space X is metrisable if and only if it is regular and T0 and has a sigma; discrete basis. A family of sets is… … Wikipedia
