Listar por tema "Reflexive"
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 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 ...
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Self-duality in the class of precompact groups
Elsevier (2009)A topological Abelian group G is called (strongly) self-dual if there exists a topological isomorphism Φ : G → G<sup>∧</sup> of G onto the dual group G<sup>∧</sup> (such that Φ (x) (y) = Φ (y) (x) for all x, y ∈ G). We ...
