ABSTRACT

This chapter presents a proof of Jones's Aposyndetic Decomposition Theorem and Rogers's Terminal Decomposition Theorem. These theorems are proven using Jones’s set function and Effros’s Theorem. The chapter proves that the set function commutes with homeomorphisms. It also gives a construction of the Case continuum and presents a sketch of the construction of the Minc–Rogers continua. Finally, the chapter examines covering spaces of any solenoid, the Menger curve, the Case continuum and one of the Minc–Rogers examples.