On a theory of braided cochains in algebraic topology (Preliminary version). (Sur une théorie des cochaines tresses en topologie algébrique (Version préliminaire ).)
On Kan fibrations for Maltsev algebras.
On Kann's conditiion
On minimal models in integral homotopy theory.
On Stanley-Reisner rings
On the construction of the Kan loop group.
On the homology of mapping spaces
Following a Bendersky-Gitler idea, we construct an isomorphism between Anderson’s and Arone’s complexes modelling the chain complex of a mapping space. This allows us to apply Shipley’s convergence theorem to Arone’s model. As a corollary, we reduce the problem of homotopy equivalence for certain “toy” spaces to a problem in homological algebra.
On the Number of Faces of Simplicial Complexes and the Purity of Frobenius.
Optimal decision trees on simplicial complexes.
Ordinary and directed combinatorial homotopy, applied to image analysis and concurrency.