scholarly journals Topological aspect of monodromy groupoid for a topological internal groupoid

2019 ◽  
Author(s):  
H. Fulya Akız ◽  
Osman Mucuk
1995 ◽  
Vol 23 (10) ◽  
pp. 3815-3830 ◽  
Author(s):  
W.D. Burgess ◽  
R.M. Raphael
Keyword(s):  

Filomat ◽  
2019 ◽  
Vol 33 (2) ◽  
pp. 393-401 ◽  
Author(s):  
Osman Mucuk ◽  
Serap Demir

In this paper we develop star topological and topological group-groupoid structures of monodromy groupoid and prove that the monodromy groupoid of a topological group-groupoid is also a topological group-groupoid.


2007 ◽  
Vol 16 (4) ◽  
pp. 881-886 ◽  
Author(s):  
Duan Yi-Shi ◽  
Zhao Li ◽  
Liu Yu-Xiao ◽  
Ren Ji-Rong

2019 ◽  
Vol 38 (7) ◽  
pp. 181-193
Author(s):  
H. Fulya Akız ◽  
Osman Mucuk ◽  
Tunçar Şahan

In this paper we define the notion of lifting of a crossed module via the morphism in groups with operations and give some properties of this type of liftings. Further we prove that the lifting crossed modules of a certain crossed module are categorically equivalent to the internal groupoid actions on groups with operations, where the internal groupoid corresponds to the crossed module.


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