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Topological half-exact functor : ウィキペディア英語版 | Topological half-exact functor
In mathematics, a topological half-exact functor ''F'' is a functor from a fixed topological category (for example CW complexes or pointed spaces) to an abelian category (most frequently in applications, category of abelian groups or category of modules over a fixed ring) that has a following property: for each sequence of the form: : ''X'' → ''Y'' → ''C(f)'' where ''C(f)'' denotes a mapping cone, a sequence: : ''F(X)'' → ''F(Y)'' → ''F(C(f))'' is exact. Examples include functors of homology.
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Topological half-exact functor」の詳細全文を読む
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