TY - BOOK AU - Knarr,Norbert ED - SpringerLink (Online service) TI - Translation Planes: Foundations and Construction Principles T2 - Lecture Notes in Mathematics, SN - 9783540447245 AV - QA440-699 U1 - 516 23 PY - 1995/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Geometry N1 - 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 N2 - 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 UR - http://dx.doi.org/10.1007/BFb0096310 ER -