Strict initial object
initial object 0 of a category C with the property that every morphism in C with codomain 0 is an isomorphism
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.
The public source identifies “Strict initial object” as initial object 0 of a category C with the property that every morphism in C with codomain 0 is an isomorphism. This brief keeps that definition visible, then builds a research path around Strict, initial and object.
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Vocabulary and entity names are the principal evidence signals here, because they determine the precision of every later search. The source revision retrieved here is dated Dec 2, 2023. The linked authority identifier is Q25098887. None of the 0 selected statements returned an explicit reference.
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This entry incorporates text from “Strict initial object” on English Wikipedia. Contributors are listed in the page history. Text is available under the Creative Commons Attribution-ShareAlike 4.0 License. Selected authority identifiers and statements are retrieved from Wikidata under CC0; their references and qualifiers remain part of the verification path.