Original Articles

Quotient Maps: Frame-Valued Spaces

Published in: Quaestiones Mathematicae
Volume 31 , issue 1 , 2008 , pages: 45–54

DOI: 10.2989/QM.2008.31.1.5.410

Author(s): H. Boustique , G. Richardson

Keywords: L-FILTER , FRAME-VALUED CONVERGENCE SPACES , QUOTIENT MAPS

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.

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