Topological group-groupoids and their coverings

Icen I., Ozcan A., Gursoy M.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.36, sa.9, ss.493-502, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 9
  • Basım Tarihi: 2005
  • Dergi Adı: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.493-502
  • İnönü Üniversitesi Adresli: Evet

Özet

Let (X) over tilde -> X be a covering map and let X be a topological group. We define a category UTGCov(X) of coverings of X in which both X and (X) over tilde have universal coverings, and a category UTGGdCov (pi(l), X) of coverings of topological group-groupoid pi(l) X in which X and (G) over tilde (0) = (X) over tilde have universal coverings, and then prove the equivalence of these categories. We prove that the topological group structure of a topological group-groupoid lifts to a topological universal covering groupoid.