Title
Exponentiable functors between quantaloid-enriched categories Exponentiable functors between quantaloid-enriched categories
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Dordrecht ,
Subject
Mathematics
Source (journal)
Applied categorical structures. - Dordrecht, 1993, currens
Volume/pages
17(2009) :1 , p. 91-101
ISSN
0927-2852
ISI
000262310700006
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
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 (J. Pure Appl. Algebra 23:147-167, 1982) and Dyckhoff and Tholen (J. Pure Appl. Algebra 49:103-116, 1987).
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