On the topological generalized crossed modules
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Craiova
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we define the topological versions of the concepts of crossed module over generalized groups, which is called generalized crossed module, and generalized group-groupoid. We construct the categories of the topological generalized crossed modules and their homomorphisms and of the topological generalized group-groupoid and homomorphisms between them. We also obtain some characterizations related to the concepts of topological generalized crossed module and topological generalized group-groupoid. Finally, at the end of the work, we prove that the category of topological generalized crossed modules is equivalent to that of topological generalized group-groupoids whose object sets are commutative topological generalized groups.
Açıklama
Anahtar Kelimeler
Topological group, topological generalized group, generalized action, crossed module, generalized crossed module, generalized group-groupoid
Kaynak
Annals of The University of Craiova-Mathematics and Computer Science Series
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
48
Sayı
2
