💡 Words with a Similar Meaning to "Disjoint union topology"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| disjoint unionnoun | (mathematics) A union of sets which are already pairwise disjoint. |
| discrete topologynoun | (topology) A topology on a set consisting of all subsets of that set. |
| 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. |
| topologynoun | (mathematics, uncountable) The branch of mathematics dealing with those properties of a geometrical object (of arbitrary dimensionality) that are unchanged by continuous deformations (such as stretching, bending, etc., without tearing or gluing). |
| 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. |
| wedge sumnoun | (topology) A one-point union of a family of topological spaces. |
| uniform spacenoun | (topology) A space for which properties like uniform continuity and uniform convergence can be formulated. |
| topological groupnoun | (topology) A group which is also a topological space and whose group operations are continuous functions. |
| relative topologynoun | (topology) subspace topology |
| ditopologynoun | (topology) A dichotomous topology; A topology that includes two structures: one describing the properties related to openness of sets, the other describing the properties related to closedness of sets. |
| connected spacenoun | (mathematics) Any topological space which cannot be written as the disjoint union of two or more nonempty open spaces. |
| 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); |
| initial topologynoun | (topology) Given a set X, a family of topological spaces (M#95;i,T#95;i)#95;#123;i#92;inI#125; and a family of functions f#95;i#58;X#92;toM#95;i, the initial topology is the coarsest topology on X such that all f#95;i are continuous. |
| order treenoun | (topology) A set that is the union of subsets (called segments), each of which is totally ordered, such that the segments fit together a certain way. |
| product topologynoun | (topology) The topology of the Cartesian product of two or more topological spaces which is generated from a basis whose elements are Cartesian products of open subsets of the original spaces, such that for each such Cartesian product only a finite quantity of such subsets are proper. |
| underlying setnoun | (topology) A set of "points" upon which a topology is built, thereby yielding a topological space. |
| disjoint setnoun | (computer science) A data structure used to store such sets and perform operations on them efficiently. |
| discrete setnoun | (topology) A set of points of a topological space such that each point in the set is an isolated point, i.e. a point that has a neighborhood that contains no other points of the set. |
| final topologynoun | (topology) Given a set X, a family of topological spaces (M#95;i,T#95;i)#95;#123;i#92;inI#125; and a family of functions f#95;i#58;M#95;i#92;toX, the final topology is the finest topology on X such that all f#95;i are continuous. |
| 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. |
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