On sets of n-dimensional subspaces of projective spaces intersecting mutually in an (n−2)-dimensional subspace Original Research Article

Let P be a projective space. Let E be a set of n-dimensional subspaces of P such. that any two elements of E intersect exactly in an (n−2)-dimensional subspace. In this paper we consider sets E of this type. The case n=3 was considered in an earlier paper (Geom. Dedicate, submitted for publication). In this paper, we consider the case n⩾4. We show that in this case there is essentially only one “new” example E.