Subcategories of lattice-valued convergence spaces
We study several subcategories of Heyting-algebra-valued convergence spaces. These categories generalize the well-known categories of Kent convergence spaces, of limit spaces, of pretopological spaces, of pseudo-topological spaces and of topological limit spaces to the many-valued setting. Moreover a functorial. mechanism is described for changing the "basis-lattice". (c) 2005 Elsevier B.V. All rights reserved.
convergence space limit space pretopological space l-fuzzy convergence l-topology l-filter pseudotopological space change of basis