Computing Higher Dimensional Digital Homotopy Groups

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Meric E. T., Vergili T., KARACA İ.

APPLIED MATHEMATICS & INFORMATION SCIENCES, cilt.8, sa.5, ss.2417-2425, 2014 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 5
  • Basım Tarihi: 2014
  • Doi Numarası: 10.12785/amis/080537
  • Dergi Adı: APPLIED MATHEMATICS & INFORMATION SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2417-2425
  • Anahtar Kelimeler: digital homotopy groups, digital covering map, radius 2 local isomorphism
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Karadeniz Teknik Üniversitesi Adresli: Hayır

Özet

In this paper, we study out a method for computing digital homotopy groups in higher dimensions. We investigate the relation between a digital image and its nth homotopy group when n is greater than 1 and show that a digital covering map which is a radius 2 local isomorphism induces an isomorphism between digital homotopy groups in higher dimensions.