original_query: What is the function of sub-object classifiers in sheaf theory?
query: What is the function of sub-object classifiers in sheaf theory?
answer: In sheaf theory, sub-object classifiers function similarly to the two-element set of Boolean truth values (true and false) in the usual category of sets.  They provide a way to describe subsets of a given set X as functions from X to this two-element set.