Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660237 | Topology and its Applications | 2008 | 21 Pages |
Abstract
A topological abelian group G is w-divisible if G has uncountable weight and the subgroup has the same weight of G for each positive integer m. In order to “measure” w-divisibility we introduce a cardinal invariant (divisible weight) which allows for a precise description of various phenomena related to the subgroups of the compact abelian groups. We give several applications of these results.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology