Original scientific paper

https://doi.org/10.3336/gm.55.2.13

Errata to "Non-cut, shore and non-block points in continua"

Jozef Bobok ; Faculty of Civil Engineering, Czech Technical University in Prague, Czech Republic
Pavel Pyrih ; Faculty of Mathematics and Physics, Charles University in Prague, Czech Republic
Benjamin Vejnar orcid.org/0000-0002-2833-5385 ; Faculty of Mathematics and Physics, Charles University in Prague, 118 00 Prague, Czech Republic

Abstract

The aim of this errata is to claim that [2, Theorem 4.5] is not true. This mistake was pointed to us by W. J. Charatonik. 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].

Keywords

Hrčak ID:

248673

URI

https://hrcak.srce.hr/248673

Publication date:

23.12.2020.

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