Listar por tema "P-group"
Mostrando ítems 1-4 de 4
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Nondiscrete P-Groups can be reflexive
(2010-02)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). ... -
Nondiscrete P-groups can be reflexive
Elsevier (2011-02-01)We present the first examples of nondiscrete reflexive P-groups (topological groups in which countable intersections of open sets are open) as well as of noncompact reflexive ω-bounded groups (precompact groups in which ... -
Reflexivity in precompact groups and extensions
Elsevier (2014-02)We establish some general principles and find some counter-examples concerning the Pontryagin reflexivity of precompact groups and P-groups. We prove in particular that: (1) A precompact Abelian group G of ...
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Reflexivity of prodiscrete topological groups
Elsevier (2011)We study the duality properties of two rather different classes of subgroups of direct products of discrete groups (protodiscrete groups): P-groups, i.e., topological groups such that countable intersections of its open ...
