Original Articles

EXPONENTIABLE MONOMORPHISMS

Published in: Quaestiones Mathematicae
Volume 9 , issue 1-4 , 1986 , pages: 443–458

DOI: 10.1080/16073606.1986.9632126

Author(s): Walter Tholen Department of Mathematics, Canada

Abstract

A morphism a: A → X in c is exponentiable if it is so as an object of the comma category C/X, that is: if the functor—x a: C/X → C/X, given by pullback, has a right adjoint. It is shown that the class of all exponentiable monomorphisms enjoys several pleasant properties which can be derived from formal properties of pullback complements.

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