| Résume | Using the projective Fraisse limit construction introduced by Irwin and Solecki we obtain a new compact connected one-dimensional metric space. This continuum (compact connected space) is approximated by finite connected graphs with confluent epimorphisms. We show that the obtained continuum is indecomposable, but not hereditarily indecomposable, as arc-components are dense. It is pointwise self-homeomorphic, but not homogeneous, and each point is the top of the Cantor fan. Moreover, it is hereditarily unicoherent, in particular, it does not embed a circle; however, it embeds the universal solenoid and the pseudo-arc. This is joint work with W. J. Charatonik and R. P. Roe. |
