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An uncountable Mittag-Leffler condition with an application to ultrametric locally convex vector spaces

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 نشر من قبل Andrea Pulita
 تاريخ النشر 2021
  مجال البحث
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 تأليف Andrea Pulita




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Mittag-Leffler condition ensures the exactness of the inverse limit of short exact sequences indexed on a partially ordered set $(I,leq)$ admitting a $countable$ cofinal subset. We extend Mittag-Leffler condition by relatively relaxing the countability assumption. As an application we prove an ultrametric analogous of a result of V.P.Palamodov in relation with the acyclicity of Frechet spaces with respect to the completion functor.



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