Projective Space: Points and Planes
P.L. Robinson
TL;DR
This paper presents an axiomatic formulation of three-dimensional projective space focusing on points and planes as fundamental elements, with lines derived, emphasizing the self-dual nature that inherently incorporates the principle of duality.
Contribution
It introduces a self-dual axiomatic framework for 3D projective space emphasizing points and planes as fundamental, with lines derived, highlighting duality.
Findings
Self-dual axiomatic formulation of 3D projective space
Points and planes as fundamental elements
Automatic incorporation of duality principle
Abstract
We take points and planes as fundamental, lines as derived, in an axiomatic formulation of three-dimensional projective space, the self-dual nature of which formulation renders automatic the principle of duality.
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Taxonomy
TopicsAdvanced Theoretical and Applied Studies in Material Sciences and Geometry