Exponentiable functors between quantaloid-enriched categories

Details Exponentiable functors between quantaloid-enriched categories Exponentiable functors between quantaloid-enriched categories

2006-04-26

arxiv.org/abs/math/0604569v2

Mathematics

Category Theory

10 pages; correction of flaw in proof

Scientific paper

Exponentiable functors between quantaloid-enriched categories are characterized in elementary terms. The proof goes as follows: the elementary conditions on a given functor translate into existence statements for certain adjoints that obey some lax commutativity; this, in turn, is precisely what is needed to prove the existence of partial products with that functor; so that the functor's exponentiability follows from the works of Niefield [1980] and Dyckhoff and Tholen [1987].

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