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.
@article{bwmeta1.element.bwnjournal-article-smv121i3p277bwm,
author = {Graham Allan},
title = {Stable inverse-limit sequences, with application to Predict algebras},
journal = {Studia Mathematica},
volume = {119},
year = {1996},
pages = {277-308},
zbl = {0874.46048},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv121i3p277bwm}
}
Allan, Graham. Stable inverse-limit sequences, with application to Predict algebras. Studia Mathematica, Tome 119 (1996) pp. 277-308. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv121i3p277bwm/
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