Generalized Topological Groupoids
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Punjab, Dept Mathematics
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Our aim in this paper is to give the notion of generalized topological groupoid which is a generalization of the topological groupoid by using the notion of generalized topology defined by Csaszar [6]. We investigate the basic facts in the groupoid theory in terms of generalized topological groupoids. We present the action of a generalized topological groupoid on a generalized topological space. We obtain some characterizations about this concept that is called the generalized topological action. Beside these, we give definition of a generalized topological crossed module by generalizing the concept of crossed module defined on topological groupoids. At the last part of the study, we show how a generalized topological crossed module can be obtained from a generalized topological groupoid and how a generalized topological groupoid can be obtained from a generalized topological crossed module.
Açıklama
Anahtar Kelimeler
Generalized topology, generalized topological groupoid, generalized topological crossed module
Kaynak
Punjab University Journal of Mathematics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
53
Sayı
2
