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Topologically Torsion Elements of the Circle Group
Authors:Dikran Dikranjan  Daniele Impieri
Institution:1. Department of Mathematics , Udine University , Udine , Italy dikran.dikranjan@uniud.it;3. Department of Mathematics , Udine University , Udine , Italy
Abstract:Let (m n ) be a faithfully enumerated sequence of integers with m n  | m n+1 for every n ∈ ?. We describe the topologically (m n )-torsion elements of the circle group 𝕋 = ?/? (written additively), namely, those elements x ∈ 𝕋 such that m n x coverges to 0.
Keywords:Armacost  Circle group  Topologically torsion
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