Unions of chains in dyadic compact spaces and topological groups
This paper explores properties possessed by a space \(X\) which is a union of a chain \(\{ X_\alpha\mid \alpha <\kappa\}\) of subspaces each of which has some bounded cardinal function. For example if \(X\) is a dyadic compactum and either each \(X_\alpha\) has pseudocharacter at most \(\lambda\) or each \(X_\alpha\) has tightness at most \(\lambda\) then \(X\) has weight at most \(\lambda\). Similar assumptions for a locally compact group give a corresponding bound on the character of the group.
scientific article; zbMATH DE number 1787512
scientific article