On Semi-Pseudo-Ovoids
نویسنده
چکیده
In this paper we introduce semi-pseudo-ovoids, as generalizations of the semi-ovals and semi-ovoids. Examples of these objects are particular classes of SPG-reguli and some classes of m-systems of polar spaces. As an application it is proved that the axioms of pseudo-ovoid O(n, 2n, q) in PG(4n − 1, q) can be considerably weakened and further a useful and elegant characterization of SPG-reguli with the polar property is given.
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