The non-pure version of the simplex and the boundary of the simplex. - Nicolas Ariel Capitelli (Comput. Geom., 2016)

A generalization of a result of Dong and Santos-Sturmfels on the Alexander dual of spheres and balls. - Nicolas Ariel Capitelli; Elias Gabriel Minian (J. Comb. Theory A, 2016)

A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions. - Nicolas Ariel Capitelli; Elias Gabriel Minian (Discret. Comput. Geom., 2017)