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Reflexivity in precompact groups and extensions

Autor
Galindo, J.; Tkachenko, M.; Bruguera, M.; Hernandez, C.
Tipus d'activitat
Article en revista
Revista
Topology and its applications
Data de publicació
2014-02-15
Volum
163
Pàgina inicial
112
Pàgina final
127
DOI
https://doi.org/10.1016/j.topol.2013.10.011 Obrir en finestra nova
Repositori
http://hdl.handle.net/2117/23167 Obrir en finestra nova
Resum
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 bounded order is reflexive if the dual group G<^> has no infinite compact subsets and every compact subset of G is contained in a compact subgroup of G.; (2) Any extension of a reflexive P-group by another reflexive P-group is again reflexive.; We show on the other hand that an extension of a...
Citació
Galindo, J. [et al.]. Reflexivity in precompact groups and extensions. "Topology and its applications", 15 Febrer 2014, vol. 163, p. 112-127.
Paraules clau
ABELIAN TOPOLOGICAL-GROUPS, Extension, P-group, PONTRYAGIN DUALITY, Precompact, Pseudocompact, Reflexive, SPACE, omega-Bounded
Grup de recerca
EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions

Participants