[Fraïssé ]{}limit; some other examples for finite languages are also given. In this article we provide a new example: we focus on a family ${\mathcal F}$ of structures — finite partial orders whose Hasse diagram is a forest — which we show () is projective Fraïssé; its limit ${\mathbb F}$ admits a quotient ${{{\raisebox{.1em}{${\mathbb F}\!$}\left/\raisebox{-.1em}{$R^{{\mathbb F}}$}\right.}}}$ which is a smooth fence. This space does not seem to appear in literature and we call it the *[Fraïssé ]{}fence*.

We isolate a cofinal subclass ${{\mathcal F}_{0}}$ of ${\mathcal F}$ and we show that smooth fences are exactly those spaces which are quotients of projective limits of sequences from ${{\mathcal F}_{0}}$ (). This result creates a bridge between the combinatorial world and the topological one, which we exploit in to obtain a characterization of the the [Fraïssé ]{}fence by isolating a topological property which yields the amalgamation property for ${{\mathcal F}_{0}}$.

Our spaces, some of their properties, and the techniques we use have their analogs in the theory of fans. A *fan* is an arcwise connected and hereditarily unicoherent compact space that has at most one ramification point. A fan with ramification point $t$ is *smooth* if for any sequence $(x_{n})_{n \in {\mathbb 