Linear spaces with many projective planes

摘要

We assume that in a linear space $ (P, frak{L}) $ there is a non-empty set M of points with the property that every plane containing a point of M is a projective plane. In section 3 an example is given that in general $ (P, frak{L}) $ is not a projective space. But if M can be completed by two points to a generating set of P, then $ (P, frak{L}) $ is a projective space.