| Résume | In this joint work with Tristan Bice and Alessandro Vignati we develop a method of constructing metrizable compact spaces with a prescribed combinatorial basis – as a spectrum of a given ω-poset. Furthermore we construct ω-posets from inverse sequences of relational morphisms between finite graphs, and in particular from Fraïssé sequences in appropriate categories of graphs. This gives an alternative approach to classical projective Fraïssé theory when realizing continua like the Lelek fan or the pseudo-arc as Fraïssé limits. |
