The projective Fra"ıssé limit of the family of all connected finite graphs with confluent epimorphisms

2022/06/24 by Charatonik, Włodzimierz J., Kwiatkowska, Aleksandra, Roe, Robert P. · 1 citation
#FOS: Mathematics #General Topology (math.GN) #Logic (math.LO)

paper · doi:10.48550/arxiv.2206.12400

Abstract

We investigate the projective Fra"ıssé family of finite connected graphs with confluent epimorphisms and the continuum obtained as the topological realization of its projective Fra"ıssé limit. This continuum was unknown before. We prove that it is indecomposable, but not hereditarily indecomposable, one-dimensional, Kelley, pointwise self-homeomorphic, but not homogeneous. It is hereditarily unicoherent and each point is the top of the Cantor fan. Moreover, the universal solenoid, the universal pseudo-solenoid, and the pseudo-arc may be embedded in it.

Cited by

• Inverse limits of various posets

Related

• Projective Fraïssé limits of trees with confluent epimorphisms
• Projective Fra"ıssé limits of trees
• Evolutions of finite graphs
• Lelek fan from a projective Fraisse limit
• Universal end-compactifications of locally finite graphs