### Families of Geometries

Beginning wtih the work of Klein, the usual description of a transition of geometries is as a *conjugacy limit* inside of some ambient geometry, usually projective space.
The choice of such an ambient space affects both the results (which geometries limit to which others), and the methods of proof (which geometric techniques can be used to show a particular transition is actually continuous.)
This preprint recounts work from my thesis, constructing an alternative formalism for discussing geometric transitions intrinsically, without need for an ambient space.