Journal ArticleDOI
On weakly perspective subsets of desarguesian projective lines
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This article is published in Abhandlungen Aus Dem Mathematischen Seminar Der Universitat Hamburg.The article was published on 1975-08-01. It has received 5 citations till now. The article focuses on the topics: Projective space & Fano plane.read more
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Book ChapterDOI
Chapter 12 – Point-Line Spaces Related to Buildings
TL;DR: In this paper, the authors focus on point-line spaces related to buildings and define a class of spaces called polar spaces, i.e. spaces in which no two different points are on two different lines.
Journal ArticleDOI
Semi — Quadratic sets in projective spaces
TL;DR: In this paper, a semi-quadratic set is defined as a set of points of a projective space such that the union of all tangent lines at each pointp of Q is either a hyperplane of P or P itself.
Journal ArticleDOI
Semiquadratic sets and embedded polar spaces
TL;DR: In this paper, the theory of fully embedded polar spaces, excluding only semi-ovoids, has been developed, using synthetic techniques that unify, simplify and extend earlier work, and all assumptions on the finiteness of dimension or rank have been eliminated.
Prehistory and History of Polar Spaces and of Generalized Polygons
Abstract: Warning This text is by no means complete. Many items of the bibliography have either not been developed at all in the text itself or they are too briefly mentioned. Some items that have been developed would deserve a more detailed treatment. Some sources may have been forgotten or overlooked. Comments and criticisms are welcome. A period that is fairly well covered is 1956-1974.
Book ChapterDOI
Classical Polar Spaces
Francis Buekenhout,Aaron Cohen +1 more
TL;DR: Theorem 10313 and Section 103 is devoted to its proof Proposition 10311 points out which non-degenerate polar spaces amongst those embedded in absolutes of quasi-polarities on projective spaces are proper subspaces of the absolute and thus are invariant under perspectivities.