2022/12/02 by Njamcul, Anika, Pavlović, Aleksandar
#54A05 #54A10 #54B99 #54C05 #54C08 #54E99 #FOS: Mathematics #General Topology (math.GN)
paper · doi:10.48550/arxiv.2212.01490
This paper is a continuation of work started in \citenjampavcont on preserving continuity in ideal topological spaces. We will deal with θ-continuity and weak continuity and give their translations in ideal topological spaces. As consequences of those results, we will prove that every θ-continuous function is continuous if topologies are generated by θ-open sets and we will give an example of weakly continuous function which is not τθ-continuous. This will complete the diagram of relations between continuous, τθ-continuous, θ-continuous, weakly continuous and faintly continuous functions.