nLab
split equalizer
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
A fork
is split if it can be embedded into a diagram
in which , and .
Of course, and can be interchanged in the definition.
Properties
Every split fork is an absolute equalizer, but not conversely.
See also split coequalizer.
Last revised on January 28, 2019 at 06:27:19.
See the history of this page for a list of all contributions to it.