Title: Beyond perturbation 1: de Rham spaces,
Abstract: It is shown that if one uses the notion of infinity nilpotent elements due to
Moerdijk and Reyes, instead of the usual definition of nilpotents to define
reduced $C^\infty$-schemes, the resulting de Rham spaces are given as quotients
by actions of germs of diagonals, instead of the formal neighbourhoods of the
diagonals.