LATTICE-VALUED CATEGORIES OF LATTICE-VALUED CONVERGENCE SPACES

Document Type : Research Paper

Author

Department of Statistics, Rhodes University, 6140 Grahamstown, South Africa

Abstract

We study L-categories of lattice-valued convergence spaces. Such
categories are obtained by \fuzzifying" the axioms of a lattice-valued convergence
space. We give a natural example, study initial constructions and
function spaces. Further we look into some L-subcategories. Finally we use
this approach to quantify how close certain lattice-valued convergence spaces
are to being lattice-valued topological spaces.

Keywords


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