Algebra, Logic and Topology

 

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Author(s)
Isar Stubbe; Dirk Hofmann; Maria Manuel Clementino;

Title
Exponentiable Functors Between Quantaloid-Enriched Categories

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).

Journal
Applied Categorical Structures

Volume
17

Year
2009

Issue
1

Page(s)
91-101

 
     
 

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