nLab
sequential colimit
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 sequential colimit is a colimit of the diagram
Thus, a sequential colimit is a special case of a directed colimit. See there for more details.
References
Discussion of sequential colimits (in the generality of homotopy colimits) in homotopy type theory:
It could also be found in section 26 of the draft of the textbook:
Created on February 1, 2025 at 19:07:30.
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