Аннотация:
The factor group of a Hausdorff topological Abelian group by a discrete subgroup is complete iff the topological group is complete and the factor ring of a Hausdorff topological ring by a discrete ideal is complete iff the topological ring is complete.
Ключевые слова и фразы:
topological groups, topological rings, factor group of a topological group, factor ring of a topological ring, directed set, Cauchy sequence by a directed set, limit of a sequence by a directed set, complete topological group, complete topological ring.
Полный текст:
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