💡 Words with a Similar Meaning to "Mathematical space"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| antispacenoun | A space or region that violates the norms or conventions of spaces. |
| metric spacenoun | (mathematics, mathematical analysis, topology) Any set on which a metric is defined, giving a distance between any two elements. |
| 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); |
| 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. |
| connected spacenoun | (mathematics) Any topological space which cannot be written as the disjoint union of two or more nonempty open spaces. |
| spacenoun | (heading) Unlimited or generalized extent, physical or otherwise. |
| factor spacenoun | (topology, idiomatic) A space obtained from another by identification of points that are equivalent to one another in some equivalence relation. |
| geometrynoun | (mathematics, uncountable) The branch of mathematics dealing with spatial relationships. |
| underlying setnoun | (topology) A set of "points" upon which a topology is built, thereby yielding a topological space. |
| 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. |
| mathematical structurenoun | (mathematics) A set together with a collection of mathematical objects such as other sets, relations or operations which endow it with additional structure. |
| normal spacenoun | (topology) 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. |
| 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; |
| 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. |
| function spacenoun | (mathematics) Any metric space whose elements are functions |
| size theorynoun | A branch of mathematics that studies the properties of topological spaces endowed with ℝᵏ-valued functions, with respect to the change of these functions. |
| treespacenoun | (mathematics) A space whose components are trees. |
| algebraic topologynoun | (mathematics) The branch of mathematics that uses tools from abstract algebra to study topological spaces. |
| uniform spacenoun | (topology) A space for which properties like uniform continuity and uniform convergence can be formulated. |
| manifoldnoun | (mechanics) A pipe fitting or similar device that connects multiple inputs and outputs. |
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