Abstract
We consider sets in which some subsets are distinguished and called (linear) subspaces. Such a set S will be called a polar space if it satisfies the axioms (P1) to (P4) hereafter, for some integer n ≥ 1 called the rank of the space S. Notice that these axioms are essentially equivalent to the axioms (I) to (VII) of F.D. Veldkamp [101], except that here, the projective spaces involved are not assumed to be thick, and that n is allowed to be = 1 or 2.
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© 1974 Springer-Verlag Berlin Heidelberg
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(1974). Buildings of type Cn. I. Polar spaces. In: Buildings of Spherical Type and Finite BN-Pairs. Lecture Notes in Mathematics, vol 386. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-38349-9_7
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DOI: https://doi.org/10.1007/978-3-540-38349-9_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06757-3
Online ISBN: 978-3-540-38349-9
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