nLab
cofiber
Redirected from "cofibre".
Contents
Context
Limits and colimits
limits and colimits
1-Categorical
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limit and colimit
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limits and colimits by example
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commutativity of limits and colimits
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small limit
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filtered colimit
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sifted colimit
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connected limit, wide pullback
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preserved limit, reflected limit, created limit
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product, fiber product, base change, coproduct, pullback, pushout, cobase change, equalizer, coequalizer, join, meet, terminal object, initial object, direct product, direct sum
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finite limit
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Kan extension
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weighted limit
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end and coend
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fibered limit
2-Categorical
(∞,1)-Categorical
Model-categorical
Contents
Definition
Lemma
For a morphism in a category with a terminal object, the cofiber of is the cofiber coproduct of with the terminal morphism, hence the pushout
Examples
Cokernels
In an additive category cofibers over the zero object are called cokernels.
Last revised on October 15, 2022 at 05:06:57.
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