Closed subsets which are not retracts in the Bohr topology
| Autor: | Berit Nilsen Givens |
|---|---|
| Rok vydání: | 2003 |
| Předmět: |
Discrete mathematics
Generalization 010102 general mathematics Mathematics::General Topology Topology 01 natural sciences Bohr topology Bohr model 010101 applied mathematics symbols.namesake Retract Retracts symbols Countable set Geometry and Topology Topological group 0101 mathematics Abelian group Topology (chemistry) Mathematics |
| Zdroj: | Topology and its Applications. 129:11-14 |
| ISSN: | 0166-8641 |
| DOI: | 10.1016/s0166-8641(02)00133-5 |
| Popis: | For an infinite abelian group G , let G # denote the Bohr topology on G . We show that G # contains a countable closed subset which is not a retract. This is a generalization of a result due to Gladdines for boolean groups. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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