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Lines in projective spaces

Journal of Geometry, 2004
Here we study finite unions, Y , of lines in a projective spacePG(n, K). We prove that if K is an infinite field, Y spans PG(n, K) and a general hyperplane section of Y is not in linearly general position, then there exists at least one linear subspace M of PG(n, K) such that 2 ≤ dim (M)
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Embedding Locally Projective Planar Spaces Into Projective Spaces

1988
We shall show that a 3-dimensional locally projective planar space of finite order n can be embedded into a 3-dimensional projective space of order n, if it has at least n 3 points.
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THE SPACE OF CLOSED CURVES ON A PROJECTIVE SPACE [PDF]

open access: possibleThe Quarterly Journal of Mathematics, 1969
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