Kan extensions in double categories
(On weak double categories, Part III)
Theory and applications of categories, Tome 20 (2008), pp. 152-185
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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.
Classification :
8D05, 18A40, 18A25
Keywords: weak double category, weak double functor, Kan extension, adjoint functor, comma object
Keywords: weak double category, weak double functor, Kan extension, adjoint functor, comma object
@article{TAC_2008_20_a7,
author = {Marco Grandis and Robert Par\'e},
title = {Kan extensions in double categories {
(On} weak double categories, {Part} {III)}},
journal = {Theory and applications of categories},
pages = {152--185},
year = {2008},
volume = {20},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAC_2008_20_a7/}
}
Marco Grandis; Robert Paré. Kan extensions in double categories (On weak double categories, Part III). Theory and applications of categories, Tome 20 (2008), pp. 152-185. http://geodesic.mathdoc.fr/item/TAC_2008_20_a7/