An uncountable Mittag-Leffler condition with applications to p-adic locally convex vector spaces

Seminar series

Algebra Seminar

Date

Tue, 10 Mar 2020
14:15

Location

Speaker

Andrea Pulita

Organisation

Universite Grenoble-Alpes

Mittag-Leffler condition ensures the exactness of the inverse limit of short exact sequences indexed on a partially ordered set admitting a countable cofinal subset. We extend Mittag-Leffler condition by relatively relaxing the countability assumption. As an application we prove an exactness result about the completion functor in the category of ultrametric locally convex vector spaces, and in particular we prove that a strict morphism between these spaces has closed image if its kernel is Fréchet.