Abstract:It is shown that the quotient maps of a monotopological construct {\bf A} which are preserved by pullbacks along embeddings, projections, or arbitrary morphisms, can be characterized by being quotient maps in appropriate extensions of {\bf A}.
Keywords: hereditary quotient, product-stable quotient, pullback-stable quotient; extensional topological hull, CCT hull, topological universe hull; pretopological spaces, pseudotopological spaces
AMS Subject Classification: 18A20, 54B30, 54C10, 54A05