Allan, Graham R. Stable inverse-limit sequences, with application to Fréchet algebras. (English) Zbl 0874.46048 Stud. Math. 121, No. 3, 277-308 (1996). Summary: 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. Cited in 2 ReviewsCited in 1 Document MSC: 46M40 Inductive and projective limits in functional analysis 46H05 General theory of topological algebras 46J05 General theory of commutative topological algebras 46M15 Categories, functors in functional analysis 46M20 Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) Keywords:stable inverse-limit sequence; preservation of exactness by the inverse-limit functor; abstract Mittag-Leffler theorem; theory of Fréchet algebras PDFBibTeX XMLCite \textit{G. R. Allan}, Stud. Math. 121, No. 3, 277--308 (1996; Zbl 0874.46048) Full Text: DOI EuDML