Separable space
In mathematics, a topological space is called separable if it contains a countable, dense subset; that is, there exists a sequence of elements of the space such that every nonempty open subset of the space contains at least one element of the sequence. Contrast separability with the related notion of second countability, which is in general stronger but equivalent on the class of metrizable spaces.
3D rotation groupAbelian von Neumann algebraAbsorbing set (random dynamical systems)Abstract Wiener spaceAnderson–Kadec theoremApproximate identityApproximately finite-dimensional C*-algebraArzelà–Ascoli theoremAsplund spaceAxiom of countabilityBaire category theoremBanach manifoldBanach spaceBanach–Alaoglu theoremBanach–Mazur theoremBesov measureBorel setBornological spaceBox topologyBrowder–Minty theoremBunce–Deddens algebraC*-algebraCalkin algebraCameron–Martin theoremCantor spaceCardinal functionChoquet gameClassical Wiener spaceCompact operatorCompact operator on Hilbert spaceCompact spaceCompactly generated groupComplemented latticeComplete metric spaceComplete topological vector spaceConstructive analysisContinuous functionContinuum (set theory)Convergence of measuresConvergence of random variables
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Separable space
In mathematics, a topological space is called separable if it contains a countable, dense subset; that is, there exists a sequence of elements of the space such that every nonempty open subset of the space contains at least one element of the sequence. Contrast separability with the related notion of second countability, which is in general stronger but equivalent on the class of metrizable spaces.
has abstract
Em matemática, um espaço topol ...... conjunto enumerável denso em .
@pt
En mathématiques, et plus préc ...... space topologique tout entier.
@fr
En topologia, un espai topològ ...... una base ortonormal numerable.
@ca
En topologio, apartigebla spac ...... e vico de punkcoj en la spaco.
@eo
En topología, un espacio topol ...... una base ortonormal numerable.
@es
In matematica, e più precisame ...... el senso di limite matematico.
@it
In mathematics, a topological ...... he class of metrizable spaces.
@en
Inom matematiken kallas ett to ...... r en uppräknelig tät delmängd.
@sv
Metrický prostor obsahující spočetnou hustou podmnožinu se nazývá separabilní.
@cs
Przestrzeń topologiczna ośrodk ...... ologii jest zbiorem otwartym).
@pl
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Em matemática, um espaço topol ...... conjunto enumerável denso em .
@pt
En mathématiques, et plus préc ...... space topologique tout entier.
@fr
En topologia, un espai topològ ...... una base ortonormal numerable.
@ca
En topologio, apartigebla spac ...... e vico de punkcoj en la spaco.
@eo
En topología, un espacio topol ...... una base ortonormal numerable.
@es
In matematica, e più precisame ...... ttoinsieme denso e numerabile.
@it
In mathematics, a topological ...... he class of metrizable spaces.
@en
Inom matematiken kallas ett to ...... r en uppräknelig tät delmängd.
@sv
Metrický prostor obsahující spočetnou hustou podmnožinu se nazývá separabilní.
@cs
Przestrzeń topologiczna ośrodk ...... ologii jest zbiorem otwartym).
@pl
label
Apartigebla spaco
@eo
Espace séparable
@fr
Espacio separable
@es
Espai separable
@ca
Espaço separável
@pt
Przestrzeń ośrodkowa
@pl
Separabel
@nl
Separabelt rum
@sv
Separabilní prostor
@cs
Separable space
@en