A Note on the Place Topology of Projective Planes

by Franz Kalhoff.

Abstract:
It is shown that the place topology induced by a proper epimorphism of a projective plane P, which is known to make P a Lenz-topological plane, makes P even a topological projective plane, if the extended radical of some underlying ternary field is bounded.

Key words and phrases: Epimorphisms of projective planes, ternary fields, the radical of a ternary field, places of ternary fields, valuations, uniform valuations, topological projective planes, place topology, valuation topology.

1991 Mathematics Subject Classification: Primary 51H05; Secondary 51A10, 15A35.

To appear in: Geometriae Dedicata

Contact: Franz.Kalhoff@Mathematik.Uni-Dortmund.DE