Douglas Kutach has a wiki, Project Line:
This is a repository of information on the Theory of Linear Structures (TLS) and a workspace for its further development. .....The Theory of Linear Structures is an alternative framework for describing physical geometry. It replaces the standard theory of point-set topology based on open sets with a version of point-set topology based on lines. ....The theory and its benefits are presented in Tim Maudlin's New Foundations for Physical Geometry, forthcoming from Oxford University Press.Of interest to anyone who wants to sink their teeth into TLS are these problem sets.