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math.GN2026
Metrizable and Fréchet--Urysohn subgroups and linear subspaces of topological vector spaces
Arkady Leiderman, Evgenii Reznichenko, Ol'ga Sipacheva
For a normed space , we denote by and the space and its dual endowed with the weak topology and the weak topology , respectively. It is we…
math.GN2026
-Fréchet--Urysohn and Baire subgroups of free topological groups
Arkady Leiderman, Evgenii Reznichenko, Ol'ga Sipacheva
A topological space is -Fréchet--Urysohn if every point in the closure of an open set is the limit of a sequence of points of . We prove that every -Fr…