Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778020 | Topology and its Applications | 2017 | 9 Pages |
Abstract
It is proved that, on any Abelian group of infinite cardinality m, there exist precisely 22m nonequivalent bounded Hausdorff group topologies. Under the continuum hypothesis, the number of nonequivalent compact and locally compact Hausdorff group topologies on the group (Zp)N is determined.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
I.K. Babenko, S.A. Bogatyi,