32 citations · 122 across the 43 of their papers we have counts for
6 papers · 1 filter
Polyhedral CAT(0) metrics on locally finite complexes
Karim A. Adiprasito, Louis Funar
We prove the arborescence of any locally finite complex that is with a polyhedral metric for which all vertex stars are convex. In particular locally finite cube…
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 …
Normal crossing immersions, cobordisms and flips
Karim Adiprasito, Gaku Liu
We study various analogues of theorems from PL topology for cubical complexes. In particular, we characterize when two PL homeomorphic cubulations are equivalent by Pachner moves b…
CAT(0) metrics on contractible manifolds
Karim A. Adiprasito, Louis Funar
We prove that an open manifold of dimension at least which admits a complete CAT(0) polyhedral metric is pseudo-collarable, its fundamental group at infinity is strongly pe…
A note on boundary manifolds of arrangements
Karim A. Adiprasito
We note an intimate connection between the Lefschetz Theorem for c-arrangements, and a theorem of Hironaka relating the complement of an arrangement to its boundary manifold. This…
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…