A Note on Homeo-Product-Minimality

A compact space Y is called homeo-product-minimal if given any minimal system (X, T), it admits a homeomorphism \(S:Y\rightarrow Y\) $S:Y\to Y$ , such that the product system \((X\times Y,T\times S)\) $(X\times Y,T\times S)$ is minimal. We show that a large class of cofrontiers is homeo-product-minimal. This class contains Bing’s pseudo-circle, answering a question of Dirbák et al. (Trans Am Math Soc 375:6453–6506, 2022).