a1 Universidad Politécnica de Valencia, Departamento de matématica Aplicada, E.T.S. Arquitectura, E-46071 Valencia, Spain
a2 FB Mathematik IV, Universität Trier, Postfach 3825, D-5500 Trier, Germany
This paper considers the behaviour of a quotient map between Fréchet spaces concerning the lifting of bounded sets. The main result shows that a quotient map between Fréchet spaces that lifts bounded sets with closure (or equivalently such that its strong transpose is a topological isomorphism) must also lift bounded sets without closure.
(Received May 31 1991)