Geodesic
Strong reflexivity of Abelian groups
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 1, pp. 213-224 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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A reflexive topological group $G$ is called strongly reflexive if each closed subgroup and each Hausdorff quotient of the group $G$ and of its dual group is reflexive. In this paper we establish an adequate concept of strong reflexivity for convergence groups. We prove that complete metrizable nuclear groups and products of countably many locally compact topological groups are BB-strongly reflexive.
A reflexive topological group $G$ is called strongly reflexive if each closed subgroup and each Hausdorff quotient of the group $G$ and of its dual group is reflexive. In this paper we establish an adequate concept of strong reflexivity for convergence groups. We prove that complete metrizable nuclear groups and products of countably many locally compact topological groups are BB-strongly reflexive.
Classification : 20K45, 22A05, 46A16, 46A99
Keywords: Pontryagin duality theorem; dual group; convergence group; continuous convergence; reflexive group; strong reflexive group; k-space; Čech complete group; k-group 
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     author = {Bruguera, Montserrat and Chasco, Mar{\'\i}a Jes\'us},
     title = {Strong reflexivity of {Abelian} groups},
     journal = {Czechoslovak Mathematical Journal},
     pages = {213--224},
     year = {2001},
     volume = {51},
     number = {1},
     mrnumber = {1814647},
     zbl = {1079.22500},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2001_51_1_a20/}
}
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Bruguera, Montserrat; Chasco, María Jesús. Strong reflexivity of Abelian groups. Czechoslovak Mathematical Journal, Tome 51 (2001) no. 1, pp. 213-224. http://geodesic.mathdoc.fr/item/CMJ_2001_51_1_a20/