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arXiv 2017-09-06 0 views

Ample continua in Cartesian products of continua

Boroński, J. P. · Prier, D. R. · Smith, M.

Original · EN

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 Łysko in the affirmative. Finally, we show that a product of two Smith's nonmetric pseudo-arcs has the fupcon property.

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