44 citations · 77 across the 17 of their papers we have counts for
5 papers · 1 filter
The dunce hat in a minimal non-extendably collapsible 3-ball
Bruno Benedetti, Frank H. Lutz
We obtain a geometric realization of a minimal 8-vertex triangulation of the dunce hat in Euclidean 3-space. We show there is a simplicial 3-ball with 8 vertices that is collapsibl…
Collapses, products and LC manifolds
Bruno Benedetti
Durhuus and Jonsson (1995) introduced the class of "locally constructible" (LC) triangulated manifolds and showed that all the LC 2- and 3-manifolds are spheres. We show here that…
On locally constructible spheres and balls
Bruno Benedetti, Günter M. Ziegler
Durhuus and Jonsson (1995) introduced the class of "locally constructible" (LC) 3-spheres and showed that there are only exponentially-many combinatorial types of simplicial LC 3-s…
Dimension, depth and zero-divisors of the algebra of basic -covers of a graph
Bruno Benedetti, Alexandru Constantinescu, Matteo Varbaro
We study the basic -covers of a bipartite graph ; the algebra $\AG$ they span, first studied by Herzog, is the fiber cone of the Alexander dual of the edge ideal. We characte…
Unmixed Graphs that are Domains
Bruno Benedetti, Matteo Varbaro
Given an arbitrary graph G, we study its basic covers algebra, which is the symbolic fiber cone of the Alexander dual of the edge ideal of G. Extending results of Villarreal and Be…