💡 Words with a Similar Meaning to "Ditopology"
Found via reverse dictionary — words that share a conceptual meaning.
| Word | Definition |
|---|---|
| bitopologynoun | The study of sets with two topologies. |
| discrete topologynoun | (topology) A topology on a set consisting of all subsets of that set. |
| 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); |
| 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). |
| homotopynoun | (topology) A continuous deformation of one continuous function or map to another. |
| 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. |
| 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. |
| 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. |
| 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. |
| merotopynoun | (topology) The set of all subsets of a topological space such that, for some element in that space every neighbourhood of that element contains a member of the subset. |
| disjoint union topologynoun | (topology) A topology which is applicable to the disjoint union of a given set of topological spaces and is the largest (most inclusive) topology that preserves the continuity of each contributing space as represented in the union. |
| trivial topologynoun | (topology) A topology consisting only of the empty set and the underlying set. |
| relative topologynoun | (topology) subspace topology |
| cofinite topologynoun | (topology) A topology consisting of the empty set and all cofinite subsets of the underlying set. |
| topological groupnoun | (topology) A group which is also a topological space and whose group operations are continuous functions. |
| direct productnoun | (set theory) The set of all possible tuples whose elements are elements of given, separately specified, sets. |
| topologistnoun | A mathematician who specializes in topology. |
| grothendieck topologynoun | (category theory) A structure on a category which makes the category's objects act like the open sets of a topological space. |
| topological propertynoun | (topology) A property of a topological space that is invariant under homeomorphisms. |
| disjoint unionnoun | (mathematics) A union of sets which are already pairwise disjoint. |
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