منابع مشابه
Subgroups of direct products closely approximated by direct sums
Let I be an infinite set, {Gi : i ∈ I} be a family of (topological) groups and G = ∏ i∈I Gi be its direct product. For J ⊆ I , pJ : G → ∏ j∈J Gj denotes the projection. We say that a subgroup H of G is: (i) uniformly controllable in G provided that for every finite set J ⊆ I there exists a finite set K ⊆ I such that pJ (H) = pJ (H ∩ ⊕ i∈K Gi); (ii) controllable in G provided that pJ(H) = pJ(H ∩...
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ژورنال
عنوان ژورنال: Arkiv för Matematik
سال: 2005
ISSN: 0004-2080
DOI: 10.1007/bf02383617