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math.CO2014
The non-pure version of the simplex and the boundary of the simplex
Nicolas Ariel Capitelli
We introduce the non-pure versions of simplicial balls and spheres with minimum number of vertices. These are a special type of non-homogeneous balls and spheres (NH-balls and NH-s…
math.AT2014
A generalization of a result of Dong and Santos-Sturmfels on the Alexander dual of spheres and balls
Nicolas Ariel Capitelli, Elias Gabriel Minian
We prove a generalization of a result by Dong and Santos-Sturmfels about the homotopy type of the Alexander dual of balls and spheres. Our results involve NH-manifolds, which were…