Before revision:  We present a generalization of Kirchberger's Theorem , a family of simple topological drawings with arbitrarily large Helly number, and a new proof of a topological generalization of Carath\'{e}odory's Theorem in the plane . We also discuss further classical theorems from Convex Geometry in the context of simple topological drawings .
After revision:  We present a generalization of Kirchberger's Theorem , a family of simple topological drawings with arbitrarily large Helly number, and a new proof of a topological generalization of Carath\'{e}odory's Theorem in the plane and discuss further classical theorems from Convex Geometry in the context of simple topological drawings .