nLab
split equalizer
Contents
Context
Limits and colimits
limits and colimits
1-Categorical
-
limit and colimit
-
limits and colimits by example
-
commutativity of limits and colimits
-
small limit
-
filtered colimit
-
sifted colimit
-
connected limit, wide pullback
-
preserved limit, reflected limit, created limit
-
product, fiber product, base change, coproduct, pullback, pushout, cobase change, equalizer, coequalizer, join, meet, terminal object, initial object, direct product, direct sum
-
finite limit
-
Kan extension
-
weighted limit
-
end and coend
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 01:27:19.
See the history of this page for a list of all contributions to it.