ON POINTWISE KAN EXTENSIONS IN DOUBLE CATEGORIES

Koudenburg S. R.

THEORY AND APPLICATIONS OF CATEGORIES, cilt.29, ss.781-818, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 29
  • Basım Tarihi: 2014
  • Dergi Adı: THEORY AND APPLICATIONS OF CATEGORIES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.781-818
  • Anahtar Kelimeler: double category, equipment, pointwise Kan extension, exact cell, tabulation
  • Orta Doğu Teknik Üniversitesi Kuzey Kıbrıs Kampüsü Adresli: Hayır

Özet

In this paper we consider a notion of pointwise Kan extension in double categories that naturally generalises Dubuc's notion of pointwise Kan extension along enriched functors. We show that, when considered in equipments that admit opcartesian tabulations, it generalises Street's notion of pointwise Kan extension in 2-categories.