Quotient maps: frame-valued spaces

Abstract

It is known that the category of frame-valued convergence spaces is topological, cartesian-closed and extensional. Properties of quotient maps between objects in this category are investigated here; in particular, it is shown that quotient maps are productive under arbitrary products.

Keywords: L-filter, frame-valued convergence spaces, quotient maps

Quaestiones Mathematicae 31(2008), 45–54