Covering Morphisms of Local Topological Group-Groupoids

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Atıf İçin Kopyala

AKIZ H. F.

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES, cilt.88, sa.4, ss.603-606, 2018 (SCI-Expanded)

• Yayın Türü: Makale / Derleme
• Cilt numarası: 88 Sayı: 4
• Basım Tarihi: 2018
• Doi Numarası: 10.1007/s40010-017-0386-1
• Dergi Adı: PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.603-606
• Yozgat Bozok Üniversitesi Adresli: Evet

Özet

Let L be a local topological group whose underlying space has a universal cover. Then the fundamental groupoid pi(1) (L) becomes a local topological group-groupoid. In this paper, we prove that the slice category LTGpCov/L of covering moprphisms p : (L) over tilde -> L of local topological groups in which (L) over tilde has also a universal cover and the category LTGpGdCov/pi(1)(L) of covering morphisms q : (G) over tilde -> pi(1) (L) of local topological group- groupoids based on pi(1) (L) are equivalent.