ON POINTWISE KAN EXTENSIONS IN DOUBLE CATEGORIES

Koudenburg S. R.

THEORY AND APPLICATIONS OF CATEGORIES, vol.29, pp.781-818, 2014 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 29
  • Publication Date: 2014
  • Journal Name: THEORY AND APPLICATIONS OF CATEGORIES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.781-818
  • Keywords: double category, equipment, pointwise Kan extension, exact cell, tabulation
  • Middle East Technical University Northern Cyprus Campus Affiliated: No

Abstract

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.