diffeological spaces and Sikorski differential spaces are both a generalisation of a smooth manifold.In their definitions, both have the locality and smooth compatibility conditions. Any diffeological space is equipped with a natural topology with respect to all of its plots such that the plots are continuous whilst any Sikorski differential space is equiped with the topology induced on a set by the family of functions  , that is the weakest topology such that all functions from the family are continuous.My question is what are the similarities and differences of the two spaces.

Diffeological spaces and Sikorski differential spaces are each a generalisation of a smooth manifold. In their definitions, both have locality and smooth compatibility conditions. Any diffeological space is equipped with a natural topology with respect to all of its plots such that the plots are continuous, whilst any Sikorski differential space is equipped with the topology induced on a set by the family of functions, that is the weakest topology such that all functions from the family are continuous. My question is what are the similarities and differences of the two spaces.