In 1994, Sakai introduced the property of C0 transversality for two smooth
curves in a two-dimensional manifold. This property was related to various
shadowing properties of dynamical systems. In this short note, we generalize
this property to arbitrary continuous mappings of topological spaces into
topological manifolds. We prove a sufficient condition for the C0
transversality of two submanifolds of a topological manifold and a necessary
condition of C0 transversality for mappings of metric spaces into
Rn.Comment: 9 page