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Overcategory

In mathematics, an overcategory (also called a slice category) is a construction from category theory used in multiple contexts, such as with covering spaces (espace étalé). They were introduced as a mechanism for keeping track of data surrounding a fixed object X {\displaystyle X} in some category C {\displaystyle {\mathcal {C}}} . The dual notion is…

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Map overview Semantic statistics

Overcategory

Nodes32
Edges31
Triples20
Avg. degree1.94
Density0.0625
Components1

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Overcategory

Top relations

related to Category of algebras as an undercategory · 6
Overcategory → Aff, CRing, If, Spec, The, This
related to Overcategories on a site · 6
Overcategory → Grothendieck, One, Open, Recall, Then, This
related to Definition · 4
Overcategory → Let, The, Then, There
related to Overcategories of spaces · 4
Overcategory → Another, Fiber, Sch, These

Important terminology Word statistics

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Important terminology

category displaystyle mathcal text object fixed also called undercategory morphism objects construction spaces given schemes properties dual whose categories topological

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Overcategoryrelated to Category of algebras as an undercategoryThe0.60section
Overcategoryrelated to Category of algebras as an undercategoryCRing0.60section
Overcategoryrelated to Category of algebras as an undercategoryThis0.60section
Overcategoryrelated to Category of algebras as an undercategoryIf0.60section
Overcategoryrelated to Category of algebras as an undercategoryAff0.60section
Overcategoryrelated to Category of algebras as an undercategorySpec0.60section
Overcategoryrelated to DefinitionLet0.60section
Overcategoryrelated to DefinitionThe0.60section
Overcategoryrelated to DefinitionThen0.60section
Overcategoryrelated to DefinitionThere0.60section
Overcategoryrelated to Overcategories of spacesAnother0.60section
Overcategoryrelated to Overcategories of spacesThese0.60section

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    Min side: 3
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