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- Second-countable_space abstract "In topology, a second-countable space, also called a completely separable space, is a topological space satisfying the second axiom of countability. A space is said to be second-countable if its topology has a countable base. More explicitly, this means that a topological space is second countable if there exists some countable collection of open subsets of such that any open subset of can be written as a union of elements of some subfamily of . Like other countability axioms, the property of being second-countable restricts the number of open sets that a space can have. Most "well-behaved" spaces in mathematics are second-countable. For example, Euclidean space (Rn) with its usual topology is second-countable. Although the usual base of open balls is not countable, one can restrict to the set of all open balls with rational radii and whose centers have rational coordinates. This restricted set is countable and still forms a basis.".
- Second-countable_space wikiPageID "901459".
- Second-countable_space wikiPageRevisionID "570173990".
- Second-countable_space hasPhotoCollection Second-countable_space.
- Second-countable_space subject Category:General_topology.
- Second-countable_space subject Category:Properties_of_topological_spaces.
- Second-countable_space type Abstraction100002137.
- Second-countable_space type Possession100032613.
- Second-countable_space type PropertiesOfTopologicalSpaces.
- Second-countable_space type Property113244109.
- Second-countable_space type Relation100031921.
- Second-countable_space comment "In topology, a second-countable space, also called a completely separable space, is a topological space satisfying the second axiom of countability. A space is said to be second-countable if its topology has a countable base. More explicitly, this means that a topological space is second countable if there exists some countable collection of open subsets of such that any open subset of can be written as a union of elements of some subfamily of .".
- Second-countable_space label "Espace à base dénombrable".
- Second-countable_space label "Second-countable space".
- Second-countable_space label "Segundo axioma de numerabilidad".
- Second-countable_space label "Вторая аксиома счётности".
- Second-countable_space label "第二可數空間".
- Second-countable_space label "第二可算的空間".
- Second-countable_space sameAs Segundo_axioma_de_numerabilidad.
- Second-countable_space sameAs Espace_à_base_dénombrable.
- Second-countable_space sameAs 第二可算的空間.
- Second-countable_space sameAs 제2가산공간.
- Second-countable_space sameAs m.03n7cy.
- Second-countable_space sameAs Q1363919.
- Second-countable_space sameAs Q1363919.
- Second-countable_space sameAs Second-countable_space.
- Second-countable_space wasDerivedFrom Second-countable_space?oldid=570173990.
- Second-countable_space isPrimaryTopicOf Second-countable_space.