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→ Y , such that the product system (X× Y,T× 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).