# (partial) linear space

A partial linear space is a pair $(P,L)$ consisting of a set $P$ of points and a set $L$ of lines such that

• every line contains at least two points, and

• any two distinct points are on at most one line.

If, in addition, any two distinct points are on at least one line, then $(P,L)$ is called a linear space.

Title (partial) linear space partialLinearSpace 2013-03-22 17:15:32 2013-03-22 17:15:32 pan (17366) pan (17366) 8 pan (17366) Definition msc 51A05