Cardinality, completeness, and decomposability of sets of endpoints of chainable continua
The author provides constructive examples of chainable continua with exactly \(n\) endpoints where \(n\) is any nonnegative integer, \(\aleph_0\), or \({\mathfrak c} = 2^{\aleph_0}\). In each case, examples of both decomposable and indecomposable continua are presented. For the infinite cases, examples are provided showing that the set of endpoints can be complete or not. The author concludes with several questions about which sets can be endpoints.
scientific article; zbMATH DE number 695884
scientific article