Existence and number of maximal precompact topologies on Abelian groups (Q919109)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Existence and number of maximal precompact topologies on Abelian groups |
scientific article; zbMATH DE number 4158969
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and number of maximal precompact topologies on Abelian groups |
scientific article; zbMATH DE number 4158969 |
Statements
Existence and number of maximal precompact topologies on Abelian groups (English)
0 references
1990
0 references
A group topology on an Abelian group G is called maximal precompact iff it is an anti-atom in the lattice of all precompact group topologies on G. The author characterizes all Abelian groups admitting (Hausdorff) maximal precompact group topologies. For such groups he determines the number of p-maximal precompact (Hausdorff) group topologies. (The notion ``p-maximal'' is introduced in the paper.)
0 references
lattice of precompact group topologies
0 references
Abelian groups
0 references
maximal precompact group topologies
0 references
