Relative functor representability
John Smyth Macdonald · Pacific Journal of Mathematics · 1967
This paper deals with the general problem of determining conditions under which the representability of a given functor G: A ~»Ens implies the representability of a subf unctor F: B ~-> Ens of the restriction of G to a subcategory B of A. With suitable conditions on A and B a set of necessary and sufficient conditions for the representability of such a functor F can be obtained.A few examples are given which indicate the connection between this case of relative or induced representability and universal algebra.