Kan extensions in double categories
(On weak double categories, Part III)

Marco Grandis and Robert Paré

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

2000 MSC: 8D05, 18A40, 18A25

Theory and Applications of Categories, Vol. 20, 2008, No. 8, pp 152-185.

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