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We prove that in the character group of an abelian topological group, the topology associated (in a standard way) to the continuous convergence structure is the finest of all those which induce the topology of simple convergence on the correspon[...]texto impreso
Let hX, di be a metric space. We characterise the family of subsets of X on which each locally Lipschitz function defined on X is bounded, as well as the family of subsets on which each member of two different subfamilies consisting of uniformly[...]texto impreso
The authors consider the space of bounded holomorphic functions on the open unit ball of a Banach space with the natural analogue of the strict topology ? for the one- (or finite-)dimensional case. This can be defined by means of weighted semino[...]texto impreso
We present sufficient conditions on an approximate mapping F : H --> Y of approximate inverse systems in order that the limit f : X --> Y of F is a universal map in the sense of Holsztynski. A similar theorem holds for a more restrictive conce[...]
