## Topological limits as categorical limits [closed]

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) ?

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mathoverflow.net/questions/9951/… – Martin Brandenburg Apr 1 2010 at 12:30
This is an exact duplicate of the question pointed at by Martin Brandenburg. – François G. Dorais Apr 1 2010 at 12:43
Yes, thank you for pointing it to me ! – nicojo Apr 1 2010 at 12:53