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arXiv · 1709.01885

Ample continua in Cartesian products of continua

J. P. Boroński·D. R. Prier·M. Smith
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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.

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J. P. Boroński, D. R. Prier, M. Smith. 2017-09-06. Ample continua in Cartesian products of continua. https://arxiv.org/abs/1709.01885

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