Università degli Studi di Genova |
Abstract: This paper deals with Kan extensions in a weak double category. Absolute Kan extensions are closely related to the orthogonal adjunctions introduced in a previous paper. The pointwise case is treated by introducing internal comma objects, which can be defined in an arbitrary double category. Keywords: Weak double category, weak double functor, Kan extension, adjoint functor, comma object MSC: 18 Pubblicato su: Theory and Applications of Categories Vol. 20 (2008) N. 8 Pag. 152-185 |