NON-CUT, SHORE AND NON-BLOCK POINTS IN CONTINUA (vol 51, pg 237, 2016)

Abstrakt

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].

Klíčová slova

• non-block point
• shore point
• continuum