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}.
@article{118503, author = {Friedhelm Schwarz and Sibylle Weck-Schwarz}, title = {On hereditary and product-stable quotient maps}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {33}, year = {1992}, pages = {345-352}, zbl = {0795.18001}, mrnumber = {1189666}, language = {en}, url = {http://dml.mathdoc.fr/item/118503} }
Schwarz, Friedhelm; Weck-Schwarz, Sibylle. On hereditary and product-stable quotient maps. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) pp. 345-352. http://gdmltest.u-ga.fr/item/118503/
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