Robert Ledet, Bradd Clark, "-sequences in abelian groups", International Journal of Mathematics and Mathematical Sciences, vol. 24, Article ID 653516, 4 pages, 2000. https://doi.org/10.1155/S0161171200003264
-sequences in abelian groups
A sequence in an abelian group is called a -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 -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 -sequence and examples of -sequences are given.
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