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
inverse limit is the same thing as a limit. (Similarly, a direct limit is the same thing as a colimit.) In this context, an inverse system is the same thing as a diagram, and an inverse cone is the same thing as a cone.
Many authors restrict this terminology to limits over
codirected sets (or cofiltered categories); see (or codirected limit ) for discussion of this case if you think that it may be what you want, or see cofiltered limit for the more general notion. Especially common is the codirected set limit of ( ℕ , ≥ ) natural numbers, in which case the inverse system may be called an inverse sequence.
Revised on April 26, 2012 01:52:17