A Characterization of K-analiticity of groups of continuous homomorphisms (Conferencia Invitada)

Autores UPV
Año
CONGRESO A Characterization of K-analiticity of groups of continuous homomorphisms (Conferencia Invitada)

Abstract

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 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 Frechet-Urysohn.