Nondiscrete P-Groups can be reflexive

dc.contributor.author	Galindo, Jorge
dc.contributor.author	Recoder Núñez, Luis
dc.contributor.author	Tkachenko, Mikhail
dc.date.accessioned	2011-07-29T09:53:30Z
dc.date.available	2011-07-29T09:53:30Z
dc.date.issued	2010-02
dc.identifier.citation	arXiv:1002.4730v1
dc.identifier.uri	http://hdl.handle.net/10234/26147
dc.description.abstract	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.
dc.format.extent	29 p.
dc.language.iso	eng
dc.rights.uri	http://rightsstatements.org/vocab/CNE/1.0/	*
dc.subject	Pontryagin’s duality
dc.subject	P-group
dc.subject	ω-bounded
dc.subject	Product
dc.subject	Σ-product
dc.subject	Reflexive
dc.subject	Compact subset
dc.subject	Character depends on countably many coordinates
dc.title	Nondiscrete P-Groups can be reflexive
dc.type	info:eu-repo/semantics/article
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.type.version	info:eu-repo/semantics/sumittedVersion