On pointwise Kan extensions in double categories
Theory and applications of categories, Tome 29 (2014), pp. 781-818
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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.
Publié le :
Classification :
18D05, 18A40, 18D20
Keywords: double category, equipment, pointwise Kan extension, exact cell, tabulation
Keywords: double category, equipment, pointwise Kan extension, exact cell, tabulation
Seerp Roald Koudenburg. On pointwise Kan extensions in double categories. Theory and applications of categories, Tome 29 (2014), pp. 781-818. http://geodesic.mathdoc.fr/item/TAC_2014_29_a26/
@article{TAC_2014_29_a26,
author = {Seerp Roald Koudenburg},
title = {On pointwise {Kan} extensions in double categories},
journal = {Theory and applications of categories},
pages = {781--818},
year = {2014},
volume = {29},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAC_2014_29_a26/}
}