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math.GN2026
Almost Periodic Characters and Hamel Coefficients in TVG Topologies on the Real Line
Irina Yaroshevskaya
We study topological vector group topologies on the real line generated by Hamel coefficient functions and circle-valued characters. We determine their continuous characters, compl…
math.GN2026
Hamel-based TVG Stronger than the Usual Topology on R
Irina Yaroshevskaya
For every nonzero rational-valued additive functional on the real line, we construct a Hausdorff nondiscrete topological vector group topology strictly finer than the usual topolog…
math.GN2026
Topological Vector Group Topologies Between the Minimal Topology and the Usual Topology on the Real Line
Irina Yaroshevskaya
For every positive sequence that tends to zero faster than every fixed exponential, we construct a Hausdorff topological Vector Group topology on the additive group of real numbers…