Coverings and crossed modules of topological groups with operations

Mucuk, Osman; Şahan, Tunçar

Coverings and crossed modules of topological groups with operations

Osman MUCUK, (Erciyes Üniversitesi, Matematik Bölümü, Kayseri, Türkiye)

TUNÇAR ŞAHAN (Erciyes Üniversitesi, Matematik Bölümü, Kayseri, Türkiye)

Turkish Journal of Mathematics

2 0

Yıl: 2014 Cilt: 38 Sayı: 5 Sayfa Aralığı: 833 - 845 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Coverings and crossed modules of topological groups with operations

Öz:

It is a well-known result of the covering groups that a subgroup G of the fundamental group at the identity of a semilocally simply connected topological group determines a covering morphism of topological groups with characteristic group G. In this paper we generalize this result to a large class of algebraic objects called topological groups with operations, including topological groups. We also prove that the crossed modules and internal categories within topological groups with operations are equivalent. This equivalence enables us to introduce the cover of crossed modules within topological groups with operations. Finally, we draw relations between the coverings of an internal groupoid within topological groups with operations and those of the corresponding crossed module.

Anahtar Kelime:

Konular: Matematik

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Mucuk O, Şahan T (2014). Coverings and crossed modules of topological groups with operations. , 833 - 845.
Chicago	Mucuk Osman,Şahan Tunçar Coverings and crossed modules of topological groups with operations. (2014): 833 - 845.
MLA	Mucuk Osman,Şahan Tunçar Coverings and crossed modules of topological groups with operations. , 2014, ss.833 - 845.
AMA	Mucuk O,Şahan T Coverings and crossed modules of topological groups with operations. . 2014; 833 - 845.
Vancouver	Mucuk O,Şahan T Coverings and crossed modules of topological groups with operations. . 2014; 833 - 845.
IEEE	Mucuk O,Şahan T "Coverings and crossed modules of topological groups with operations." , ss.833 - 845, 2014.
ISNAD	Mucuk, Osman - Şahan, Tunçar. "Coverings and crossed modules of topological groups with operations". (2014), 833-845.

APA	Mucuk O, Şahan T (2014). Coverings and crossed modules of topological groups with operations. Turkish Journal of Mathematics, 38(5), 833 - 845.
Chicago	Mucuk Osman,Şahan Tunçar Coverings and crossed modules of topological groups with operations. Turkish Journal of Mathematics 38, no.5 (2014): 833 - 845.
MLA	Mucuk Osman,Şahan Tunçar Coverings and crossed modules of topological groups with operations. Turkish Journal of Mathematics, vol.38, no.5, 2014, ss.833 - 845.
AMA	Mucuk O,Şahan T Coverings and crossed modules of topological groups with operations. Turkish Journal of Mathematics. 2014; 38(5): 833 - 845.
Vancouver	Mucuk O,Şahan T Coverings and crossed modules of topological groups with operations. Turkish Journal of Mathematics. 2014; 38(5): 833 - 845.
IEEE	Mucuk O,Şahan T "Coverings and crossed modules of topological groups with operations." Turkish Journal of Mathematics, 38, ss.833 - 845, 2014.
ISNAD	Mucuk, Osman - Şahan, Tunçar. "Coverings and crossed modules of topological groups with operations". Turkish Journal of Mathematics 38/5 (2014), 833-845.