Kąkol, JerzyMartín Peinador, ElenaMoll, Santiago2023-06-202023-06-2020081405-213Xhttps://hdl.handle.net/20.500.14352/50675For 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 iff X endowed with its Bohr topology σ(X,X^) has countable tightness. Using this result, we establish a large class of topological groups with countable tightness which are not sequential, so neither Fréchet-UrysohnengA characterization of K-analyticity of groups of continuous homomorphismsjournal articlehttp://sociedadmatematicamexicana.org.mx/doc/pdf/14-1-3.pdfhttp://sociedadmatematicamexicana.org.mxrestricted access515.1512.546Locally compact groupscompact groupsangelic spacesLindelöf spaces.Topología1210 Topología