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math.AT2018★ 1 cited
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.
math.AT2018
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…