Ample continua in Cartesian products of continua
General Topology
2017-09-12 v2
Abstract
We show that the Cartesian product of the arc and a solenoid has the fupcon property, therefore answering a question raised by Illanes. This combined with Illanes' result implies that the product of a Knaster continuum and a solenoid has the fupcon property, therefore answering a question raised by Bellamy and \L ysko in the affirmative. Finally, we show that a product of two Smith's nonmetric pseudo-arcs has the fupcon property.
Keywords
Cite
@article{arxiv.1709.01885,
title = {Ample continua in Cartesian products of continua},
author = {J. P. Boroński and D. R. Prier and M. Smith},
journal= {arXiv preprint arXiv:1709.01885},
year = {2017}
}
Comments
Question 5 corrected