Arcs, hypercubes, and graphs as quotients of projective Fraïssé limits

Abstract

We establish some basic properties of quotients of projective Fraïssé limits and exhibit some classes of compact metric spaces that are the quotient of a projective Fraïssé limit of a projective Fraïssé family in a finite language. We prove the result for the arcs directly, and by applying some closure properties we obtain all hypercubes and graphs as well.

References in corpus (1)

• The group of homeomorphisms of the Cantor set has ample generics

Cited by in corpus (1)

• Fences, their endpoints, and projective Fraïssé theory