Quotients of zero-dimensional precompact abelian groups
نویسندگان
چکیده
منابع مشابه
un 2 00 5 Precompact abelian groups and topological annihilators ∗
For a compact Hausdorff abelian group K and its subgroup H ≤ K, one defines the g-closure g K (H) of H in K as the subgroup consisting of χ ∈ K such that χ(a n) −→ 0 in T = R/Z for every sequence {a n } inˆK (the Pontryagin dual of K) that converges to 0 in the topology that H induces onˆK. We prove that every countable subgroup of a compact Hausdorff group is g-closed, and thus give a positive...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1998
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(97)00128-4