Groupoid
In mathematics, especially in category theory and homotopy theory, a groupoid (less often Brandt groupoid or virtual group) generalises the notion of group in several equivalent ways. A groupoid can be seen as a:
* Group with a partial function replacing the binary operation;
* Category in which every morphism is invertible. A category of this sort can be viewed as augmented with a unary operation, called inverse by analogy with group theory. A groupoid where there is only one object is a usual group. Special cases include:
15 puzzle2-groupAlain ConnesAlgebraic topologyAlgebroidAutomata theoryBass–Serre theoryBrandt groupoidBundle gerbeCategorical quantum mechanicsCategory (mathematics)Category algebraCategory theoryComodule over a Hopf algebroidCovering spaceDagger categoryDeformation (mathematics)Dehornoy orderDeligne–Mumford stackDouble groupoidDyadic transformationEckmann–Hilton argumentEilenberg–MacLane spaceEquivalence relationEquivalent definitions of mathematical structuresErlangen programEsquisse d'un ProgrammeEuler characteristicFibred categoryFree groupFunctorFundamental groupFundamental groupoidGalois extensionGalois theoryGeorge MackeyGerbeGlossary of category theoryGraph of groupsGrothendieck's Galois theory
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Groupoid
In mathematics, especially in category theory and homotopy theory, a groupoid (less often Brandt groupoid or virtual group) generalises the notion of group in several equivalent ways. A groupoid can be seen as a:
* Group with a partial function replacing the binary operation;
* Category in which every morphism is invertible. A category of this sort can be viewed as augmented with a unary operation, called inverse by analogy with group theory. A groupoid where there is only one object is a usual group. Special cases include:
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Dalam matematika, terutama dal ...... poid secara implisit melalui .
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Em matemática, grupoide é uma ...... os morfismos são invertíveis.
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En mathématiques, et plus part ...... ométriques comme les variétés.
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Grupoid (teorie kategorií) je ...... itací elektronů v obalu atomu.
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In de categorietheorie en de h ...... einrich Brandt geïntroduceerd.
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In der mathematischen Kategori ...... rung des Begriffes Gruppe dar.
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In matematica, un gruppoide è ...... ibile, detto gruppoide di Lie.
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In mathematics, especially in ...... licitly via Brandt semigroups.
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Un grupoide, en matemática, es ...... tal concepto en este artículo.
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Группо́ид в теории категорий — ...... но в случае неабелевых групп .
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Heinrich Brandt
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first
Heinrich
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id
core
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fundamental+groupoid
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p/g045360
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last
Brandt
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title
Groupoid
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core
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fundamental groupoid
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Dalam matematika, terutama dal ...... : himpunan dengan grup aksi .
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Em matemática, grupoide é uma ...... os morfismos são invertíveis.
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En mathématiques, et plus part ...... ométriques comme les variétés.
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Grupoid (teorie kategorií) je ...... itací elektronů v obalu atomu.
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In de categorietheorie en de h ...... le gevallen zijn onder andere:
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In der mathematischen Kategori ...... on gegeben, genannt Inversion.
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In matematica, un gruppoide è ...... ibile, detto gruppoide di Lie.
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In mathematics, especially in ...... group. Special cases include:
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Un grupoide, en matemática, es ...... tal concepto en este artículo.
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Группо́ид в теории категорий — ...... и правая единица по умножению.
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label
Catégorie groupoïde
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Groepoïde (categorietheorie)
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Groupoid
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Grupoid (teorie kategorií)
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Grupoid
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Grupoide (matemática)
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Grupoide
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Gruppoid (Kategorientheorie)
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Gruppoide (teoria delle categorie)
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Групоїд (теорія категорій)
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