Mehmetcik Pamuk

E-mail

mpamuk@metu.edu.tr

Department

Department of Mathematics

ORCID

0000-0003-1576-3919

Scopus Author ID

25825487400

Web of Science Researcher ID

A-7137-2017

Elementary Methods for Persistent Homotopy Groups Adams, Henry; Batan, Mehmet Alі; Pamuk, Mehmetcik; Varlı, Hanіfe (2025-01-01) We study the foundational properties of persistent homotopy groups and develop elementary computational methods for their analysis. Our main theorems are persistent analogues of the Van Kampen, excision, suspension, and Hu...
Generators of the mapping class group of a nonorientable punctured surface Altunöz, Tülin; Pamuk, Mehmetcik; Yıldız, Oguz (2025-01-01) Let Mod(Ng,p) denote the mapping class group of a nonorientable surface of genus g with p punctures. For g ≥ 14, we show that Mod(Ng,p) can be generated by five elements or by six involutions.
Generating the level 2 subgroup by involutions Altunöz, Tülin; Monden, Naoyuki; Pamuk, Mehmetcik; Yıldız, Oğuz (2024-04-15) We obtain a minimal generating set of involutions for the level 2 subgroup of the mapping class group of a closed nonorientable surface.
Homological properties of persistent homology Varll, Hanife; Pamuk, Mehmetcik; Yilmaz, Yaǧmur (2024-01-01) In this paper, we investigate to what extent persistent homology benefits from the properties of a homology theory. We show that persistent homology benefits from a Mayer-Vietoris sequence and a long exact sequence for a p...
Involution generators of the big mapping class group Altunöz, Tülin; Pamuk, Mehmetcik; Ylldlz, Oǧuz (2024-01-01) Let S = S(n) denote the infinite-type surface with n ends, n ? N, accumulated by genus. For n = 6, we show that the mapping class group of S is topologically generated by five involutions. When n = 3, it is topologically g...
THE TWIST SUBGROUP IS GENERATED BY TWO ELEMENTS Altunöz, Tülin; Pamuk, Mehmetcik; Yildiz, Oguz (2024-01-01) We show that the twist subgroup Tg of a nonorientable surface of genus g can be generated by two elements for every odd g ≥ 21 and even g ≥ 50. Using these generators, we can also show that Tg can be generated by two or th...
Contiguity distance between simplicial maps Borat, Ayse; Pamuk, Mehmetcik; VERGİLİ, TANE (2023-01-01) For simplicial complexes and simplicial maps, the notion of being in the same contiguity class is defined as the discrete version of homotopy. In this paper, we study the contiguity distance, SD, between two simplicial map...
Torsion Generators Of The Twist Subgroup Altunöz, Tülin; Pamuk, Mehmetcik; Yildiz, Oguz (2022-1-01) We show that the twist subgroup of the mapping class group of a closed connected nonorientable surface of genus g >= 13 can be generated by two involutions and an element of order g or g -1 depending on whether 9 is odd or...
Generating the Mapping Class Group of a Nonorientable Surface by Two Elements or by Three Involutions Altunöz, Tülin; Pamuk, Mehmetcik; Yildiz, Oguz (2022-01-01) We prove that, for g≥ 19 the mapping class group of a nonorientable surface of genus g, Mod (Ng) , can be generated by two elements, one of which is of order g. We also prove that for g≥ 26 , Mod (Ng) can be generated by t...
Generating the twist subgroup by involutions Altunöz, Tülin; Pamuk, Mehmetcik; Yildiz, Oguz (2020-01-01) For a nonorientable surface, the twist subgroup is an index 2 subgroup of the mapping class group generated by Dehn twists about two-sided simple closed curves. In this paper, we consider involution generators of the twist...

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