Malgorzata Filipczak Malgorzata Terepeta-continuous functions

摘要

Let T_Ψbe a Ψ-density topology for fixed function Ψ. This paper isconcerned with the family of Ψ-continuous functions, that means continuousfunctions from (R, T_Ψ) into (R, T_Ψ).The family of such functions forms alattice and is not closed under addition and uniform convergence. There existfunctions Ψ for which even linear functions are not Ψ-continuous.