44 citations · 77 across the 17 of their papers we have counts for
4 papers · 1 filter
Sparse handlebody decompositions and non-finiteness of
Karim Adiprasito, Bruno Benedetti
We prove that a PL manifold admits a handle decomposition into handles of index if and only if is -stacked, i.e., it admits a PL triangulation in which all …
Smoothing discrete Morse theory
Bruno Benedetti
After surveying classical notions of PL topology of the Seventies, we clarify the relation between Morse theory and its discretization by Forman. We show that PL handles theory and…
Tight complexes in 3-space admit perfect discrete Morse functions
Karim Adiprasito, Bruno Benedetti
In 1967, Chillingworth proved that all convex simplicial 3-balls are collapsible. Using the classical notion of tightness, we generalize this to arbitrary manifolds: We show that a…
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…