The book discusses various construction principles for translation planes and spreads from a general and unifying point of view and relates them to the theory of kinematic spaces. The book is intended for people working in the field of incidence geometry and can be read by everyone who knows the basic facts about projective and affine planes.
The methods developed work especially well for topological spreads of real and complex vector spaces. In particular, a complete classification of all semifield spreads of finite dimensional complex vector spaces is obtained.
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Research
Illustrationen
Maße
Höhe: 235 mm
Breite: 155 mm
Dicke: 8 mm
Gewicht
ISBN-13
978-3-540-60208-8 (9783540602088)
DOI
Schweitzer Klassifikation
Foundations.- Spreads of 3-dimensional projective spaces.- Kinematic spaces.- Examples and supplements.- Locally compact 4-dimensional translation planes.- Planes of Lenz type V with complex kernel.- Locally compact translation planes of higher dimension.