Points and Lines
Ernest E. Shult
Broschiertes Buch

Points and Lines

Characterizing the Classical Geometries

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The classical geometries of points and lines include not only the projective and polar spaces, but similar truncations of geometries naturally arising from the groups of Lie type. Virtually all of these geometries (or homomorphic images of them) are characterized in this book by simple local axioms on points and lines. The presentation is self-contained in the sense that proofs proceed step-by-step from elementary first principals without further appeal to outside results.