When a totally bounded group topology is the Bohr topology of a LCA group
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Títol
When a totally bounded group topology is the Bohr topology of a LCA groupData de publicació
2019-06-01Editor
ElsevierISSN
0166-8641; 1879-3207Cita bibliogràfica
HERNÁNDEZ, Salvador; TRIGOS-ARRIETA, F. Javier. When a totally bounded group topology is the Bohr topology of a LCA group. Topology and its Applications, 2019Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
https://www.sciencedirect.com/science/article/pii/S0166864119300434Versió
info:eu-repo/semantics/acceptedVersionParaules clau / Matèries
Resum
We look at the Bohr topology of maximally almost periodic groups (MAP, for short). Among
other results, we investigate when a Hausdorff precompact abelian group (G; w) is the Bohr re
ection of
a locally compact ... [+]
We look at the Bohr topology of maximally almost periodic groups (MAP, for short). Among
other results, we investigate when a Hausdorff precompact abelian group (G; w) is the Bohr re
ection of
a locally compact abelian group. Necessary and sufficient conditions are established in terms of the inner
properties of w. As an application, an example of a MAP group (G; t) is given such that every closed,
metrizable subgroup N of bG with N \ G = f0g preserves compactness but (G; t) does not strongly
respect compactness. Thereby, we respond to Questions 4.1 and 4.3 in [6]. [-]
Publicat a
Topology and its Applications, 2019Proyecto de investigación
The first listed author acknowledges partially support by the Spanish Ministerio de Economía y Competitividad, grant MTM2016-77143-P (AEI/FEDER, EU), and the Universitat Jaume I, grant P1171B2015-77.Drets d'accés
info:eu-repo/semantics/openAccess
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