If X is a topological group, then its fundamental groupoid π1(X) is agroup-groupoid which is a group object in the category of groupoids.Further if X is a path connected topological group which has a simplyconnected cover, then the category of covering groups of X and thecategory of covering groupoids of π1(X) are equivalent. In this paperwe prove that if (X, x0) is an H-group, then the fundamental groupoidπ1(X) is a weak categorical group. This enables one to prove that thecategory of the covering spaces of an H-group (X, x0) is equivalent tothe category of covering groupoids of the weak categorical group π1(X)
Birincil Dil | İngilizce |
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Konular | İstatistik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 1 Nisan 2013 |
Yayımlandığı Sayı | Yıl 2013 Cilt: 42 Sayı: 4 |