@Article{Dronka2010, author = "Dronka, Janusz", title = "On some properties of the superposition operator on topological manifolds", journal = "Opuscula Math.", year = "2010", volume = "30", number = "1", pages = "69--77", doi = "http://dx.doi.org/10.7494/OpMath.2010.30.1.69", url = "http://dx.doi.org/10.7494/OpMath.2010.30.1.69", abstract = "In this paper the superposition operator in the space of vector-valued, bounded and continuous functions on a topological manifold is considered. The acting conditions and criteria of continuity and compactness are established. As an application, an existence result for the nonlinear Hammerstein integral equation is obtained.", keywords = "superposition operator, continuous function, topological manifold, Hammerstein integral equation", issn = "1232-9274" }