category theory Concepts
Limits and colimits
limits and colimits 1-Categorical
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 2-Categorical
projective limit is the same thing as a limit. (Similarly, an inductive limit is the same thing as a colimit.) In this context, a projective system is the same thing as a diagram, and a projective cone is the same thing as a cone.
Many authors restrict this terminology to limits over
codirected sets (or cofiltered categories), especially the codirected set of ( ℕ , ≥ ) natural numbers; see codirected limit (or cofiltered limit) for discussion of this case if you think that it may be what you want.
Revised on July 28, 2011 02:04:22