Limits and colimits
limits and colimits
limit and colimit
limits and colimits by example
commutativity of limits and colimits
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
end and coend
A sequential (co)limit is a limit/colimit whose diagram category is an ordinal or its opposite (regarded as a poset, regarded as a category). For instance over a tower diagram.
Sometimes the term is used even more specifically for a (co)limit over the ordinal .
Thus, a sequential limit is a special case of a directed limit. See there for more details.
Revised on February 15, 2016 13:50:10
by Urs Schreiber