The Bohr-compactification of Cones of Affine Topological Semigroups
β Scribed by Brigitte Breckner
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 909 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0037-1912
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For a locally compact (LC) group G, denote by G + its underlying group equipped with the topology inherited from its Bohr compactification. G is maximally almost periodic (MAP) if and only if G + is Hausdorff. If P denotes a topological property, then we say that a MAP group G respects P if G and G
For a locally compact Abelian (LCA) group G, let G + denote the group G endowed with its Bohr topology. With each piecewise affine map (defined below) ck of G into another LCA group H, we show that there is associated a continuous map c~ + of G + imo H Γ· which coincides with on a dense open subset o