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Wiktionary
subcategory

alt. 1 With respect to a given category, a more narrow category. 2 (context category theory English) A subclass of a category which is itself a category, whose arrows are a restriction of the arrows of the parent category, and whose composition rule is a restriction of the parent category's n. 1 With respect to a given category, a more narrow category. 2 (context category theory English) A subclass of a category which is itself a category, whose arrows are a restriction of the arrows of the parent category, and whose composition rule is a restriction of the parent category's

Wikipedia
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 C by "removing" some of its objects and arrows.

Usage examples of "subcategory".

Because of where the crimes took place, we have to strongly consider that they may be domestic homicides, a subcategory of personal-cause homicides.

The relationship is reciprocal: statism rises out of prehistorical tribal warfare, out of the notion that the men of one tribe are the natural prey for the men of an­other—and establishes its own internal subcategories of rac­ism, a system of castes determined by a man’s birth, such as inherited titles of nobility or inherited serfdom.