replete subcategory

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Subcategory — In mathematics, a subcategory of a category C is a category S whose objects are objects in C and whose morphisms are morphisms in C with the same identities and composition of morphisms. Intuitively, a subcategory of C is a category obtained from … Wikipedia
Isomorphism-closed subcategory — A subcategory mathcal{A} of a category mathcal{B} is said to be isomorphism closed or replete if every mathcal{B} isomorphism h:A o B with Ainmathcal{A} belongs to mathcal{A}. This implies that both B and h^{ 1}:B o A belong to mathcal{A} as well … Wikipedia
United States — a republic in the N Western Hemisphere comprising 48 conterminous states, the District of Columbia, and Alaska in North America, and Hawaii in the N Pacific. 267,954,767; conterminous United States, 3,022,387 sq. mi. (7,827,982 sq. km); with… … Universalium

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