Caldas, MiguelEkici, ErdalJafari, Saeid2025-01-272025-01-2720101126-80422239-0227https://hdl.handle.net/20.500.12428/29417In this paper, we show that a pointwise symmetric pre -isotonic pre -closure functions is uniquely determined by the pairs of sets it separates. We then show that when the pre -closure function of the domain is pre -isotonic and the pre -closure function of the codomain is pre -isotonic and pointwise-pre-symmetric, functions which separate only those pairs of sets which are already separated are pre -continuous.eninfo:eu-repo/semantics/closedAccesspre-closure-separatedpre-closure functionpre-continuous functionsArticle278190N/AWOS:000214355300005