Weak openness of multiplication in the space \(C(0,1)\)
It is proved that the multiplication is a weakly open operation in \(C(0,1)\), the space of all continuous real-valued functions defined on \((0,1)\). A map between topological spaces is weakly open if the image of every non-empty open set has a non-empty interior.
scientific article; zbMATH DE number 5778796