nLab
amalgamation
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

fibered limit

2-Categorical
(∞,1)-Categorical
Model-categorical
Traditionally:

therefore it makes sense to generally agree that:

Beware though, while the terminology “amalgamation” indeed neatly captures the nature of pushouts in general categories , traditionally it is not widely used in this generality.

Moreover, but only vaguely related:

Finally, the term amalgamation theory is used here and there…

Last revised on May 29, 2023 at 15:38:09.
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