Mappings of the Sets of Invariant Subspaces of Null Systems
نویسنده
چکیده
Let P and P ′ be (2k + 1)-dimensional Pappian projective spaces. Let also f : P → P∗ and f ′ : P ′ → P ′∗ be null systems. Denote by Gk(f) and Gk(f ′) the sets of all invariant k-dimensional subspaces of f and f ′, respectively. In the paper we show that if k ≥ 2 then any mapping of Gk(f) to Gk(f ′) sending base subsets to base subsets is induced by a strong embedding of P to P ′. MSC 2000: 51M35, 14M15
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تاریخ انتشار 2004