(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 

Canonical name  partialLinearSpace 
Date of creation  20130322 17:15:32 
Last modified on  20130322 17:15:32 
Owner  pan (17366) 
Last modified by  pan (17366) 
Numerical id  8 
Author  pan (17366) 
Entry type  Definition 
Classification  msc 51A05 