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・ Topological degeneracy
・ Topological degree theory
・ Topological derivative
・ Topological divisor of zero
・ Topological drugs
・ Topological dynamics
・ Topological entropy
・ Topological entropy in physics
・ Topological excitations
・ Topological fluid dynamics
・ Topological functioning model
・ Topological game
・ Topological graph
・ Topological graph theory
・ Topological group
Topological half-exact functor
・ Topological index
・ Topological indistinguishability
・ Topological insulator
・ Topological K-theory
・ Topological manifold
・ Topological map
・ Topological modular forms
・ Topological module
・ Topological monoid
・ Topological order
・ Topological pair
・ Topological property
・ Topological quantum computer
・ Topological quantum field theory


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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)
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