On limit stability of special classes of continuous maps
Abstract: Biquotient, effective descent, triquotient, open and proper maps
were described in [Clementino-Hofmann] by their lifting properties of
chains of convergent ultrafilters. In this paper we use these
characterizations to prove their stability under special limits.
By their similar behaviour on lifting chains of convergent
ultrafilters, on one hand we obtain several results on limit
stability of open and perfect maps, and, on the other hand we give
unified proofs of the pullback stability and of the product
stability of biquotient, effective descent and triquotient maps.
