Stable inverse-limit sequences, with application to Predict algebras
Volume 121 / 1996
Studia Mathematica 121 (1996), 277-308
DOI: 10.4064/sm-121-3-277-308
Abstract
The notion of a stable inverse-limit sequence is introduced. It provides a sufficient (and, for sequences of abelian groups, necessary) condition for the preservation of exactness by the inverse-limit functor. Examples of stable sequences are provided through the abstract Mittag-Leffler theorem; the results are applied in the theory of Fréchet algebras.