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For an abelian locally compact group X let X^p be the group of continuous homomorphisms from X into the unit circle T of the complex plane endowed with the pointwise convergence topology. It is proved that X is metrizable iff X^p is K-analytic i[...]texto impreso
K?kol, Jerzy ; López Pellicer, Manuel ; Martín Peinador, Elena ; Tarieladze, Vaja | WALTER DE GRUYTER | 2008Theorem 1 proves (among the others) that for a locally compact topological group X the following assertions are equivalent: (i) X is metrizable and sigma-compact. (ii) C-p(X) is analytic. (iii) C-p(X) is K-analytic. (iv) C-p(X) is Lindelof. (v) [...]
