Resumen de Group topologies on vector spaces and character lifting properties

Xabier Domínguez , Vaja Tarieladze

• It is known that every continuous character on a topological vector space can be lifted to a continuous linear functional and, moreover, these liftings give rise to a topological isomorphism between the dual group and the dual space, when both are endowed with the compact-open topology. We investigate the presence of these properties in more general topologized real vector spaces.