topological space
An ordered pair, where X is a set and τ, called the topology, is a collection of…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);
Meaning
2 senses(formal)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);
topologischer Raum
топологи́ческое простра́нствоtopologíčeskoje prostránstvo
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); (loosely) the set X.
(broadly, formal)The set X.
(mathematics) any set of points that satisfy a set of postulates of some kind
Translations
7 languagesBy meaning 1
By meaning 1
Forms
plural: topological spaces| Singular | topological space |
|---|---|
| Plural | topological spaces |
regular
Synonyms
1 synonyms- (mathematics) any set of points that satisfy a set of postulates of some kind:mathematical space