💡 Words with a Similar Meaning to "Normal space"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| regular spacenoun | (topology) A Hausdorff space with the additional property that for every closed set of that space and every point disjoint from that set, there are a disjoint pair of open sets which contain the closed set and the point, respectively. |
| connected spacenoun | (mathematics) Any topological space which cannot be written as the disjoint union of two or more nonempty open spaces. |
| open setnoun | (topology, mathematical analysis, restricted to metric spaces) A set which can be described as an (arbitrary) union of open balls. Equivalently, a set such that for every point in it, there is an open ball centered at that point, such that that open ball is contained by the set. |
| antispacenoun | A space or region that violates the norms or conventions of spaces. |
| uniform spacenoun | (topology) A space for which properties like uniform continuity and uniform convergence can be formulated. |
| factor spacenoun | (topology, idiomatic) A space obtained from another by identification of points that are equivalent to one another in some equivalence relation. |
| standard topologynoun | (topology) The topology of the real number system generated by a basis which consists of all open balls (in the real number system), which are defined in terms of the one-dimensional Euclidean metric. |
| mathematical spacenoun | (topology) A set (a "universe") that consists of selected mathematical objects that are treated as points, and selected relationships between them. |
| sober spacenoun | (topology) A topological space of which every join-irreducible closed subset is the closure of exactly one point of the space. |
| hausdorff spacenoun | (topology) A topological space in which for any two distinct points x and y, there is a pair of disjoint open sets U and V such that x∈U and y∈V. |
| subspace topologynoun | (topology) The topology of a subset S of a topological space X which is obtained by considering any subset of S to be an open set if it corresponds to the intersection of S with some open set of X. |
| closed setnoun | (topology) A set whose complement is open. |
| spacenoun | (heading) Unlimited or generalized extent, physical or otherwise. |
| topological spacenoun | (topology, formally) An ordered pair (X, τ), where X is a set and τ, called the topology, is a collection of subsets of X which satisfies certain axioms and whose elements are called the open sets (or alternatively, for a different set of axioms, the closed sets); |
| h-spacenoun | (topology) A topological space X (generally assumed to be connected) together with a continuous map μ : X × X → X with an identity element e such that μ(e, x) = μ(x, e) = x for all x in X. |
| compact spacenoun | (mathematics) Any topological subset of Euclidean space that is a compact set |
| dual spacenoun | (mathematics) The vector space which comprises the set of linear functionals of a given vector space. |
| covering spacenoun | (topology) The domain of a covering of a topological space; the covering together with its domain. (See Usage notes at covering). |
| identification spacenoun | (topology) A space obtained from another by identification of points that are equivalent to one another in some equivalence relation. |
| phase spacenoun | (mathematics, physics, dynamical system theory) Given a (dynamical) system, any topological space such that every point in the space's underlying set uniquely represents a state of the system and every possible state is represented by some point; |
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