(1) Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, 72076 Tübingen, Germany
Abstract:
We prove that a compact, connected submanifold of the point space of a
smooth projective plane is homeomorphic to a sphere provided that
certain intersection properties with lines are satisfied. As an
application, we show that the set of absolute points of a smooth
polarity in a smooth projective plane of dimension 2l is empty or
homeomorphic to a sphere of dimension 2l - 1 or
.Received: 13 September 2002