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Sketch (mathematics) : ウィキペディア英語版
Sketch (mathematics)
In the mathematical theory of categories, a sketch is a category ''D'', together with a set of limit cones and a set of colimit cones. A model of the sketch in a category ''C'' is a functor
:M:D\rightarrow C
that takes each specified cone to a limit cone in ''C'' and each specified cocone to a colimit cocone in ''C''. Morphisms of models are natural transformations. Sketches are a general way of specifying structures on the objects of a category, forming a category-theoretic analog to the logical concept of a theory and its models. They allow multisorted models and models in any category.
Sketches were invented in 1968 by Charles Ehresmann, using a different but equivalent definition. There are still other definitions in the research literature.
==References==

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抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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