Abstract. We show that every flat projective plane contains topological ovals. This is achieved by completing certain closed partial ovals, the so-called quasi-ovals, to topological ovals. ABSTRACT. We show that every flat projective plane contains topological ovals. This is achieved by completing certain closed partial ovals, the so-called quasi-ovals, to topological ovals. ON THE EXISTENCE OF TOPOLOGICAL OVALS IN FLAT PROJECTIVE PLANES

We classify the 2-dimensional Laguerre planes which can be obtained by gluing together halves of ovoidM Laguerre planes along two parallel classes.