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Inserter category : ウィキペディア英語版
Inserter category

In category theory, a branch of mathematics, the inserter category is a way of constructing a new category from two functors between two categories.
==Definition==
If ''C'' and ''D'' are two categories and ''F'' and ''G'' are two functors from ''C'' to ''D'', the inserter category ''Ins''(''F'',''G'') is the category whose objects are pairs (''X'',''f'') where ''X'' is an object of ''C'' and ''f'' is a morphism in ''D'' from ''F''(''X'') to ''G''(''X'') and whose morphisms from (''X'',''f'') to (''Y'',''g'') are morphisms ''h'' in ''C'' from ''X'' to ''Y'' such that G(h) \circ f = g \circ F(h).

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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