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Strict initial object

In the mathematical discipline of category theory, a strict initial object is an initial object 0 of a category C with the property that every morphism in C with codomain 0 is an isomorphism. In a Cartesian closed category, every initial object is strict. Also, if C is a distributive or extensive category, then the initial object 0 of C is strict.

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Strict initial object

Nodes11
Edges10
Triples2
Avg. degree1.82
Density0.181818
Components1

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Strict initial object

Top relations

is a · 1
Strict initial object → initial object 0 of a category C with the property that every morphism in C with codomain 0 is an isomorphism
related to External links · 1
Strict initial object → Strict

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Important terminology

strict initial object category every morphism codomain isomorphism distributive mathematical discipline theory property cartesian closed also extensive references external links

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Strict initial objectis ainitial object 0 of a category C with the property that every morphism in C with codomain 0 is an isomorphism0.90text
Strict initial objectrelated to External linksStrict0.60section

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