- normal space
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A regular space with the additional property that for every disjoint pair of closed sets in that space, there is a disjoint pair of open sets which contain the closed sets, respectively.
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normal space
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Normal space — Separation Axioms in Topological Spaces Kolmogorov (T0) version T0 | T1 | T2 | T2½ | completely T2 T3 | T3½ | T4 | T5 | T6 In topology and related branches of mathematics, a no … Wikipedia
Locally normal space — In mathematics, particularly topology, a topological space X is locally normal if intuitively it looks locally like a normal space. More precisely, a locally normal space satisfies the property that each point of the space belongs to a… … 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
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
completely normal space — Math. a normal topological space in which every subspace is normal. * * * … Universalium
completely normal space — Math. a normal topological space in which every subspace is normal … Useful english dictionary
Normal bundle — In differential geometry, a field of mathematics, a normal bundle is a particular kind of vector bundle, complementary to the tangent bundle, and coming from an embedding (or immersion). Contents 1 Definition 1.1 Riemannian manifold 1.2 … Wikipedia
Space (punctuation) — In writing, a space ( ) is a blank area that is devoid of content, which separates words, letters, numbers, and punctuation. Conventions for interword and intersentence spaces vary among languages, and in some cases the spacing rules are quite… … Wikipedia
Normal (mathematics) — In mathematics, normal can have several meanings:* Surface normal, a vector (or line) that is perpendicular to a surface. * Normal component, the component of a vector that is perpendicular to a surface. ** Normal curvature, of a curve on a… … Wikipedia
space — 1. noun /speɪs/ a) The intervening contents of a volume. If it be only a Single Letter or two that drops, he thruſts the end of his Bodkin between every Letter of that Word, till he comes to a Space: and then perhaps by forcing thoſe Letters… … Wiktionary
