1 citations · 1 across the 5 of their papers we have counts for
6 papers
Component-Perfect Multidimensional Discrete Morse Functions
Mehmetcik Pamuk, Hanife Varlı
We introduce the concept of component-perfect multidimensional discrete Morse (MDM) functions on finite regular CW complexes. While perfect discrete Morse functions in the classica…
Critical Sets of PL and Discrete Morse Theory: a Correspondence
Ulderico Fugacci, Claudia Landi, Hanife Varlı
Piecewise-linear (PL) Morse theory and discrete Morse theory are used in shape analysis tasks to investigate the topological features of discretized spaces. In spite of their commo…
Elementary Methods for Persistent Homotopy Groups
Henry Adams, Mehmet Ali Batan, Mehmetcik Pamuk +1
We study the foundational properties of persistent homotopy groups and develop elementary computational methods for their analysis. Our main theorems are persistent analogues of th…
Homological properties of persistent homology
Hanife Varlı, Yağmur Yılmaz, Mehmetcik Pamuk
We investigate to what extent persistent homology benefits from the properties of the usual homology theory.
Decomposing Perfect Discrete Morse Functions on Connected Sums of 3-manifolds
Neza Mramor Kosta, Mehmetcik Pamuk, Hanife Varli
In this paper, we show that if a closed, connected, oriented 3-manifold M = M1#M2 admits a perfect discrete Morse function, then one can decompose this function as perfect discrete…
Perfect Discrete Morse Functions on Connected Sums
Neza Mramor Kosta, Mehmetcik Pamuk, Hanife Varli
We study perfect discrete Morse functions on closed oriented n-dimensional manifolds. We show how to compose such functions on connected sums of closed oriented manifolds and how t…