Regular space
In topology and related fields of mathematics, a topological space X is called a regular space if every closed subset C of X and a point p not contained in C admit non-overlapping open neighborhoods. Thus p and C can be separated by neighborhoods. This condition is known as Axiom T3. The term "T3 space" usually means "a regular Hausdorff space". These conditions are examples of separation axioms.
Wikipage disambiguates
A-paracompact spaceAlexandroff plankArens squareArens–Fort spaceBing metrization theoremClassification of discontinuitiesCofinitenessCompact-open topologyCompact spaceCompletely uniformizable spaceCosmic spaceCounterexamples in TopologyDevelopment (topology)Divisor topologyEvenly spaced integer topologyExtension by continuityGeneral topologyGeneralised metricGlossary of topologyGδ spaceH-closed spaceHausdorff spaceHistory of the separation axiomsK-topologyLindelöf spaceList of general topology topicsList of mathematical jargonLocally finite collectionLocally regular spaceMetrizable spaceMoore space (topology)Nagata–Smirnov metrization theoremNormal spaceParacompact spaceParticular point topologyPartition topologyPerfect mapPrime integer topologyProduct topologyPseudonormal space
Link from a Wikipage to another Wikipage
primaryTopic
Regular space
In topology and related fields of mathematics, a topological space X is called a regular space if every closed subset C of X and a point p not contained in C admit non-overlapping open neighborhoods. Thus p and C can be separated by neighborhoods. This condition is known as Axiom T3. The term "T3 space" usually means "a regular Hausdorff space". These conditions are examples of separation axioms.
has abstract
Em topologia, e em áreas corre ...... mplos de axiomas de separação.
@pt
En matemáticas, y más concreta ...... ás son espacios de Hausdorff.
@es
En mathématiques, un espace ré ...... x par deux ouverts disjoints.
@fr
In de topologie en gerelateerd ...... de Hausdorff-eigenschap heeft.
@nl
In matematica, e più precisame ...... orico o del gusto dell'autore.
@it
In topology and related fields ...... examples of separation axioms.
@en
Przestrzeń regularna i przestr ...... rewnych własności oddzielania.
@pl
T3-rum är en speciell typ av t ...... s öppna mängder sådana att och
@sv
Un espai topològic X és un esp ...... un dels axiomes de separació.
@ca
Регулярний простір і простір — ...... ь сильних аксіом віддільності.
@uk
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
727,764,840
Link from a Wikipage to another Wikipage
wikiPageUsesTemplate
comment
Em topologia, e em áreas corre ...... mplos de axiomas de separação.
@pt
En matemáticas, y más concreta ...... ás son espacios de Hausdorff.
@es
En mathématiques, un espace ré ...... x par deux ouverts disjoints.
@fr
In de topologie en gerelateerd ...... de Hausdorff-eigenschap heeft.
@nl
In matematica, e più precisame ...... orico o del gusto dell'autore.
@it
In topology and related fields ...... examples of separation axioms.
@en
Przestrzeń regularna i przestr ...... rewnych własności oddzielania.
@pl
T3-rum är en speciell typ av t ...... s öppna mängder sådana att och
@sv
Un espai topològic X és un esp ...... un dels axiomes de separació.
@ca
Регулярний простір і простір — ...... ь сильних аксіом віддільності.
@uk
label
Espace régulier
@fr
Espacio regular
@es
Espai regular
@ca
Espaço regular
@pt
Przestrzeń regularna
@pl
Regula spaco
@eo
Regular space
@en
Reguliere ruimte
@nl
Regulärer Raum
@de
Spazio regolare
@it