Dieudonné Completion and PT-Groups
Metadatos
Mostrar el registro completo del ítemcomunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONEste recurso está restringido
http://dx.doi.org/10.1007/s10485-009-9208-1 |
Metadatos
Título
Dieudonné Completion and PT-GroupsFecha de publicación
2012-02Editor
Springer NetherlandsISSN
0927-2852Cita bibliográfica
Applied Categorical Structures (2012), 20, 1, p. 1-18 (February 2012)Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
http://link.springer.com/article/10.1007/s10485-009-9208-1Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
We consider the classes of PT-groups, strong PT-groups, completion friendly groups, and Moscow groups introduced by Arhangel’skii for the study of the Dieudonné completion of topological groups. We show that every ... [+]
We consider the classes of PT-groups, strong PT-groups, completion friendly groups, and Moscow groups introduced by Arhangel’skii for the study of the Dieudonné completion of topological groups. We show that every subgroup H of a Lindelöf P-group is a PT-group, and that H is a strong PT-group iff it is R -factorizable. Assuming CH, we prove that every ω-narrow P-group is a PT-group. Several results regarding products of PT-groups and R -factorizable groups are established as well. We prove that the product of a Lindelöf group and an arbitrary subgroup of a Lindelöf Σ-group is completion friendly, and the same conclusion is valid for the product of an R -factorizable P-group with an almost metrizable group. [-]
Derechos de acceso
© Springer Science + Business Media B.V. 2009
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/restrictedAccess
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/restrictedAccess
Aparece en las colecciones
- MAT_Articles [766]