RT Journal Article
T1 A characterization of K-analyticity of groups of continuous homomorphisms
A1 Kąkol, Jerzy
A1 Martín Peinador, Elena
A1 Moll, Santiago
AB 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 Fréchet-Urysohn
PB Sociedad Matemática Mexicana
SN 1405-213X
YR 2008
FD 2008
LK https://hdl.handle.net/20.500.14352/50675
UL https://hdl.handle.net/20.500.14352/50675
LA eng
NO Spanish Ministery of Education and Science
NO European Community (Feder projects)
NO Ministry of Science and Higher Education, Poland
NO Proyectos de Investigación Santander-Complutense
NO Primeros Proyectos de Investigacióon UPV PAID-06-06
DS Docta Complutense
RD 8 abr 2025