Cardinal spaces and topological representations of bimodal logics Benedikt L\"owe, Darko Sarenac Abstract: We look at bimodal logics interpreted by cartesian products of topological spaces and discuss the validity of certain bimodal formulae in products or so-called cardinal spaces. This solves an open problem of van Benthem et al. Keywords: Bimodal logic, topological interpretations of modal logic, ordinals, commutativity, Church-Rosser