Further remarks on group-2-groupoids

Temel S.

Applied General Topology, sa.22, ss.31-46, 2021 (ESCI)

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2021
  • Doi Numarası: 10.4995/agt.2021.13148
  • Dergi Adı: Applied General Topology
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals, DIALNET
  • Sayfa Sayıları: ss.31-46
  • Recep Tayyip Erdoğan Üniversitesi Adresli: Evet

Özet

The aim of this paper is to obtain a group-2-groupoid as a 2-groupoid object in the category of groups and also as a special kind of an internal category in the category of group-groupoids. Corresponding group-2-groupoids, we obtain some categorical structures related to crossed modules and group-groupoids and prove categorical equivalences between them. These results enable us to obtain 2-dimensional notions of group-groupoids.