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arXiv · 2304.11469

A note on home-product-minimality

J. P. Boroński·Magdalena Foryś-Krawiec·Piotr Oprocha
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Abstract

A compact space $Y$ is called homeo-product-minimal if given any minimal system $(X,T)$, it admits a homeomorphism $S:Y\to Y$, such that the product system $(X\times Y,T\times S)$ is minimal. We show that a large class of cofrontiers is homeo-product-minimal. This class contains R. H. Bing's pseudo-circle, answering a question of Dirb\'{a}k, Snoha and \v{S}pitalsk\'{y} from [Minimal direct products, Trans. Amer. Math. Soc. 375 (2022)].

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J. P. Boroński, Magdalena Foryś-Krawiec, Piotr Oprocha. 2023-04-22. A note on home-product-minimality. https://arxiv.org/abs/2304.11469

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