Possible Duplicate:
limits in category theory and analysis
Let $X$ be topological space, $(u_n)$ a sequence converging to $l$.
Can one find a categorical setting such that $l$ appears to be the limit a of certain functor ?
Ie, can one find a category $C$, a functor $F : \mathbb{N}\to C$ that represents the sequence $(u_n)$ and such that $\lim F=l$ (or something like that) ?
