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Polygraph (mathematics) : ウィキペディア英語版
Polygraph (mathematics)

In mathematics, and particularly in category theory, a polygraph is a generalisation of a directed graph. It is also known as a computad. They were introduced as "polygraphs" by Albert Burroni〔A. Burroni. ''Higher-dimensional word problems with applications to equational logic''. TCS, 115(1):43--62, 1993.〕 and as "computads" by Ross Street.〔R. Street. Limits indexed by category-valued 2-functors. Journal of Pure and Applied Algebra, 8(2):149--181, 1976.〕
In the same way that a directed multigraph can freely generate a category, an ''n''-computad is the "most general" structure which can generate a free n-category.
== References ==



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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