Topological group
In mathematics, topological groups are logically the combination of groups and topological spaces, i.e. they are group and topological spaces at the same time, s.t. the continuity condition for the group operations connect these two structures together and consequently they are not independent from each other. Topological groups have been studied extensively in the period of 1925 to 1940. Haar and Weil (respectively in 1933 and 1940) showed that the integrals and Fourier series are special cases of a very wide class of topological groups.
(G,X)-manifoldAbelian groupAbelian sandpile modelAffine representationAlexander ArhangelskiiAlexandre KirillovAlgebraic structureAlgebraic topology (object)Amenable groupAndrew M. GleasonAspherical spaceAssociated bundleAutomorphic formBanach algebraBernoulli processBig O notationBiquaternionBirkhoff-Kakutani theoremBirkhoff–Kakutani theoremBohr compactificationBrauner spaceBéla KerékjártóCalvin C. MooreCantor cubeCargill Gilston KnottCartan connectionCategory of representationsCauchy sequenceCauchy spaceChabauty topologyCharacteristic classCharacteristic subgroupCharles LoewnerChris Stevens (mathematician)Circle groupClass formationClassifying spaceClassifying toposClosed-subgroup theoremClosed subgroup
Link from a Wikipage to another Wikipage
primaryTopic
Topological group
In mathematics, topological groups are logically the combination of groups and topological spaces, i.e. they are group and topological spaces at the same time, s.t. the continuity condition for the group operations connect these two structures together and consequently they are not independent from each other. Topological groups have been studied extensively in the period of 1925 to 1940. Haar and Weil (respectively in 1933 and 1940) showed that the integrals and Fourier series are special cases of a very wide class of topological groups.
has abstract
Dalam matematika, grup topolog ...... pkan pada analisis fungsional.
@in
En matemàtiques, un grup topol ...... pològics subsumeix a la dels .
@ca
En matemáticas, especialmente ...... unción que aplica es continua.
@es
En mathématiques, un groupe to ...... ielle en topologie algébrique.
@fr
En topologisk grupp är inom ma ...... perationerna är kontinuerliga.
@sv
Grupa topologiczna – grupa na ...... rotnego są funkcjami ciągłymi.
@pl
In algebra astratta, un gruppo ...... (gruppo topologico discreto).
@it
In de wiskunde zijn de topolog ...... dat de afbeelding continu is.
@nl
In mathematics, topological gr ...... pplied to functional analysis.
@en
Topologická grupa je matematic ...... čísel spolu s operací sčítání.
@cs
Link from a Wikipage to an external page
Wikipage page ID
page length (characters) of wiki page
Wikipage revision ID
1,003,637,053
Link from a Wikipage to another Wikipage
wikiPageUsesTemplate
hypernym
comment
Dalam matematika, grup topolog ...... i kontinu, karena topologinya.
@in
En matemàtiques, un grup topol ...... pològics subsumeix a la dels .
@ca
En matemáticas, especialmente ...... unción que aplica es continua.
@es
En mathématiques, un groupe to ...... ielle en topologie algébrique.
@fr
En topologisk grupp är inom ma ...... perationerna är kontinuerliga.
@sv
Grupa topologiczna – grupa na ...... rotnego są funkcjami ciągłymi.
@pl
In algebra astratta, un gruppo ...... co che interagiscono tra loro.
@it
In de wiskunde zijn de topolog ...... dat de afbeelding continu is.
@nl
In mathematics, topological gr ...... e class of topological groups.
@en
Topologická grupa je matematic ...... čísel spolu s operací sčítání.
@cs
label
Groupe topologique
@fr
Grup topologi
@in
Grup topològic
@ca
Grupa topologiczna
@pl
Grupo topológico
@es
Grupo topológico
@pt
Gruppo topologico
@it
Topological group
@en
Topologická grupa
@cs
Topologische Gruppe
@de