Sullivan's de Rham complex is definable in terms of its $0$-forms

Daniel M. Kan, Edward Y. Miller
1976 Proceedings of the American Mathematical Society  
It is proved that for a simplicial complex Sullivan's de Rham complex is definable in terms of its 0-forms.
doi:10.1090/s0002-9939-1976-0410737-2 fatcat:2ntj6hfkvvd3dls3hv37v5t6pq