Homologie des ensembles simploïdaux

National audienceIn this article the homology of simploidal sets is studied. Simploidal sets generalize both simplicial complexes and cubical complexes, more precisely cells of simploidal sets are Cartesian products of simplices. We define one homology for simploidal sets and we prove in a combinatorial way that this homology is equivalent to the homology usually defined on simplicial structures