Miguel, CaldasErdal, EkiciJafari, Saeid2025-01-272025-01-2720101126-8042https://hdl.handle.net/20.500.12428/13888In 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 function; Pre-closure-separated; Pre-continuous functionsArticle2781902-s2.0-79960225978Q4