Minimal model formulation for rational distributional category

Develop a Sullivan minimal model characterization of the rational distributional category dcat_0(X) = dcat(X)_Q for simply connected spaces X, analogous to the well-known minimal model description of the rational LS-category cat_0(X).

Background

Rational LS-category cat_0(X) has a classical minimal model formulation in rational homotopy theory, which is central to many computations and applications.

The authors point out the lack of an analogous minimal model framework for the rational distributional category and explicitly formulate the problem of constructing such a description for simply connected spaces.