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Extensive category

In mathematics, an extensive category is a category C with finite coproducts that are disjoint and well-behaved with respect to pullbacks. Equivalently, C is extensive if the coproduct functor from the product of the slice categories C/X × C/Y to the slice category C/(X + Y) is an equivalence of categories for all objects X and Y of C.

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Extensive category

Nodes15
Edges14
Triples2
Avg. degree1.87
Density0.133333
Components1

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Extensive category

Top relations

is a · 1
Extensive category → category C with finite coproducts that are disjoint and well-behaved with respect to pullbacks
related to External links · 1
Extensive category → Extensive

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extensive category categories mathematics coproducts pullbacks functor product finite disjoint well-behaved respect equivalently coproduct slice equivalence objects examples references external

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SubjectPredicateObjectConfidenceSrc
Extensive categoryis acategory C with finite coproducts that are disjoint and well-behaved with respect to pullbacks0.90text
Extensive categoryrelated to External linksExtensive0.60section

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