This is a glossary of properties and concepts in category theory in mathematics. Especially for higher categories, the concepts from algebraic topology are also used in the category theory. For that see also glossary of algebraic topology. The notations used throughout the article are: * [n] = { 0, 1, 2, …, n }, which is viewed as a category (by writing

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  • This is a glossary of properties and concepts in category theory in mathematics. Especially for higher categories, the concepts from algebraic topology are also used in the category theory. For that see also glossary of algebraic topology. The notations used throughout the article are: * [n] = { 0, 1, 2, …, n }, which is viewed as a category (by writing .) * Cat, the category of (small) categories, where the objects are categories (which are small with respect to some universe) and the morphisms functors. * Fct(C, D), the functor category: the category of functors from a category C to a category D. * Set, the category of (small) sets. * sSet, the category of simplicial sets. (en)
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  • This is a glossary of properties and concepts in category theory in mathematics. Especially for higher categories, the concepts from algebraic topology are also used in the category theory. For that see also glossary of algebraic topology. The notations used throughout the article are: * [n] = { 0, 1, 2, …, n }, which is viewed as a category (by writing (en)
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  • Glossary of category theory (en)
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