Ardanza-Trevijano, S.; Chasco, M.J. “The Pontryagin duality of sequential limits of topological Abelian groups”. En J. Pure Appl. Algebra. 2005. Vol. 202, 1-3. pp. 11-21, (2005).
We prove that direct and inverse limits of sequences of reﬂexive Abelian groups that are metrizable or k -spaces, but not necessarily locally compact, are reﬂexive and dual of each other provided some extra conditions are satisﬁed by the sequences.