Covering spaces of homogeneous continua (Q1336603)

A continuum (i.e., a compact connected metric space) \(X\) is said to be homogeneous if for every two points \(x,y \in X\) there is a homeomorphism \(h : X \to X\) such that \(h(x) = y\). The author studies homogeneous continua, in general not locally connected, with the property that the first Čech cohomology group is not trivial. He uses covering spaces of some homogeneous continua (a simple closed curve, a solenoid, the Case continuum and the Minc-Rogers continuum) to study various properties of the base space.