Decomposition Theorems

Abstract

The set function T has also been used to prove several decomposition theorems. Here, first, we present three general decomposition theorems. Then we prove a Hausdorff version, for continua with the uniform property of Effros, of Jones’ Aposyndetic Decomposition Theorem and Prajs’ Mutual Decomposition Theorem. We present the way to show Rogers’ Terminal Decomposition Theorem for homogeneous metric continua and we end with other decomposition theorems.