Construction of Bundles on Simplicial Sets and Transition Functions

Akyar B.

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, cilt.36, sa.6, ss.1071-1082, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 6
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1007/s13369-011-0101-5
  • Dergi Adı: ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1071-1082
  • Anahtar Kelimeler: Simplicial set, Realization, Bundle theory, Transition function
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

We give the definition of a bundle over a simplicial set in a similar way to that in general bundle theory. We define certain transition functions, called compatible transition functions, for the given bundle, as well as so-called admissible trivializations. Conversely, we give the description of an associated bundle over the realization of the simplicial set and trivializations for a given set of transition functions.