- 期刊
T_Ω-SEQUENCES IN ABELIAN GROUPS
摘要
A sequence in an abelian group is called a T-sequence if there exists a Hausdorff group topology in which the sequence converges to zero. This paper describes the fundamental system for the finest group topology in which this sequence converges to zero. A sequence is a T_Ω-sequence if there exist uncountably many different Hausdorff group topologies in which the sequence converges to zero. The paper develops a condition which insures that a sequence is a T_Ω-sequence and examples of T_Ω-sequences are given.
延伸閱讀
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