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 Cet article a éte moissonné depuis la source Heldermann Verlag

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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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     author = {S. Ardanza-Trevijano and M. J. Chasco and X. Dom�nguez },
     title = {The {Role} of {Real} {Characters} in the {Pontryagin} {Duality} of {Topological} {Abelian} {Groups}},
     journal = {Journal of Lie theory},
     pages = {193--203},
     year = {2008},
     volume = {18},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JLT_2008_18_1_JLT_2008_18_1_a11/}
}
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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/