Publication at Faculty of Mathematics and Physics |
2020
Abstract
In the false "proof" of [2, Theorem 4.5] the authors argue by a false note mentioned by Bing that every continuum which is both arc-like and circle-like is indecomposable [1, p. 121]. A counterexample to Bing's note as well as to [2, Theorem 4.5] is given by two bucket-handle continua joined by their end-points.
Another counterexample is described in [3, Examples].