  This is a note of the author's ongoing work on persistent Sullivan minimal
models. Sullivan minimal models have been important tools in rational homotopy
theory for representing topological spaces using simplified algebraic
structures. In this note, we study persistent Sullivan minimal models for
persistent spaces and establish their stability results. For the case of
Vietoris-Rips filtrations arising from metric spaces, such stability results
can provide a stronger lower bound estimate of the Gromov-Hausdorff distance
between metric spaces than the standard persistent homology.
