A Cofinitely Sensitive Product of Continuous-Time Semiflows

We construct jointly continuous semiflows [Formula: see text] and [Formula: see text] on complete metric spaces such that neither [Formula: see text] nor [Formula: see text] is syndetically sensitive, whereas [Formula: see text] is cofinitely sensitive. This gives negative answers to the [Formula: see text] and [Formula: see text] parts of [Li & Zhou, 2013, Remark 3.7] and [Miller & Money; 2017, Question 9.2] for jointly continuous [Formula: see text]-actions.