Fischer's Diagonal Condition for Lattice-Valued Convergence Spaces

Author: Jäger Gunther  

Publisher: Taylor & Francis Ltd

ISSN: 1607-3606

Source: Quaestiones Mathematicae, Vol.31, Iss.1, 2008-03, pp. : 11-25

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Abstract

We study a generalization of a diagonal condition which classically ensures that a convergence space is topological. We show that only under an additional condition, which classically is always true, the validity of this diagonal condition implies that a Heyting algebra-valued convergence space is L-topological.