Geodesic
The Role of Real Characters in the Pontryagin Duality of Topological Abelian Groups
Journal of Lie theory, Tome 18 (2008) no. 1, pp. 193-203.

Voir la notice de l'article provenant de la source Heldermann Verlag

We study the role that real characters play in the context of Pontryagin duality of topological abelian groups. Among other problems, we show how the existence of enough real characters to separate points is related with the density of the arc-component of the dual group. This is exploited to study the arc-component of groups of continuous maps into T.
Classification : 22A05, 22D35
Mots-clés : Pontryagin duality, real character, one-parameter subgroup, arc-component, exponential function 
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S. Ardanza-Trevijano; M. J. Chasco; X. Dom�nguez . The Role of Real Characters in the Pontryagin Duality of Topological Abelian Groups. Journal of Lie theory, Tome 18 (2008) no. 1, pp. 193-203. http://geodesic.mathdoc.fr/item/JLT_2008_18_1_JLT_2008_18_1_a11/