Nondiscrete P-Groups can be reflexive
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadatos
Título
Nondiscrete P-Groups can be reflexiveFecha de publicación
2010-02Cita bibliográfica
arXiv:1002.4730v1Tipo de documento
info:eu-repo/semantics/articleVersión
info:eu-repo/semantics/sumittedVersionPalabras clave / Materias
Resumen
We present a series of examples of nondiscrete reflexive P-groups (i.e.,
groups in which all G -sets are open) as well as noncompact reflexive !-bounded groups
(in which the closure of every countable set is compact). ... [+]
We present a series of examples of nondiscrete reflexive P-groups (i.e.,
groups in which all G -sets are open) as well as noncompact reflexive !-bounded groups
(in which the closure of every countable set is compact). Our main result implies that every
product of feathered (equivalently, almost metrizable) Abelian groups equipped with
the P-modified topology is a reflexive group. In particular, every compact Abelian group
with the P-modified topology is reflexive. This answers a question posed by S. Hern´andez
and P. Nickolas and solves a problem raised by Ardanza-Trevijano, Chasco, Dom´ınguez,
and Tkachenko. [-]
Derechos de acceso
http://rightsstatements.org/vocab/CNE/1.0/
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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