of a new class of topological spaces, which we call *fences*. These are the compact metrizable spaces whose connected components are either points or arcs. Among them, we define the subclass of smooth fences and characterize them as those fences admitting an embedding in ${2^{{\mathbb N}}}\times [0, 1]$.

A major tool for our study are projective Fraïssé families of topological structures, for a given language $ \mathcal L $, and their limits — called projective Fraïssé limits. These were introduced by Irwin and Solecki in [@Irwin2006]. In that paper, the authors focus on a particular example, where $ \mathcal L =\{ R\}$ contains a unique binary relation symbol such that its interpretation on the limit is an equivalence relation, and the quotient is a pseudo-arc. The characterization of all spaces that can be obtained, up to homeomorphism, as quotients $ {{\raisebox{.1em}{$ \mathbb L \!$}\left/\raisebox{-.1em}{$R^{ \mathbb L }$}\right.}} $, where $( \mathbb L , R^{ \mathbb L})$ is the projective Fraïssé limit of a projective Fraïssé family of finite topological $\set{R}$-structures is settled in [@Camerl2010]. In [@Basso] it is noted that, if we admit infinite languages, then every compact metrizable space can be obtained as such a quotient of a projective 