Continua with a dense set of end points (Q1102574)

The authors investigate continua with a dense set of end points. They prove that they are either indecomposable or the union of two proper indecomposable subcontinua with connected intersection, each having a dense set of its end points lying outside the composant containing the intersection and such that the intersection is an end continuum in both continua. They also prove that a decomposable continuum has a dense set of end points if and only if it is the union of two indecomposable continua with dense sets of their end points and such that their intersection is an end continuum of both continua.