Hereditarily non-weakly chainable continua in products of plane continua
Volume 239 / 2017
Fundamenta Mathematicae 239 (2017), 19-27
MSC: Primary 54F15; Secondary 54B10, 54F50.
DOI: 10.4064/fm315-10-2016
Published online: 28 March 2017
Abstract
We prove that the product of any two non-degenerate plane continua contains a non-degenerate hereditarily non-weakly chainable continuum. Consequently, in the product of two pseudo-arcs, there exists a non-degenerate subcontinuum containing no pseudo-arc. This answers a question by D. P. Bellamy.
