8 citations · 25 across the 10 of their papers we have counts for
11 papers
Morse shellings and compatible discrete Morse functions
Nermin Salepci, Jean-Yves Welschinger
We introduce a notion of Morse shellings (and tilings) on finite simplicial complexes which extends the classical one and its relation to discrete Morse theory.Skeletons and baryce…
Tilings, packings and expected Betti numbers in simplicial complexes
Nermin Salepci, Jean-Yves Welschinger
Let be a finite simplicial complex. We prove that the normalized expected Betti numbers of a random subcomplex in its -th barycentric subdivision converge…
Asymptotic measures and links in simplicial complexes
Nermin Salepci, Jean-Yves Welschinger
We introduce canonical measures on a locally finite simplicial complex and study their asymptotic behavior under infinitely many barycentric subdivisions. We also compute the f…
Asymptotic topology of random subcomplexes in a finite simplicial complex
Nermin Salepci, Jean-Yves Welschinger
We consider a finite simplicial complex together with its successive barycentric subdivisions and study the expected topology of a random subcomplex in $Sd^d…
A real open book not fillable by a real Lefschetz fibration
Ferit Ozturk, Nermin Salepci
A real 3- or 4-manifold has by definition an orientation preserving smooth involution acting on it. We consider Lefschetz fibrations of 4-dimensional manifolds-with-boundary and op…
Real open books and real contact structures
Ferit Ozturk, Nermin Salepci
A real 3-manifold is a smooth 3-manifold together with an orientation preserving smooth involution, called a real structure. In this article we study open book decompositions on sm…