Original Articles

Fischer's Diagonal Condition for Lattice-Valued Convergence Spaces

Published in: Quaestiones Mathematicae
Volume 31 , issue 1 , 2008 , pages: 11–25

DOI: 10.2989/QM.2008.31.1.2.407

Author(s): Gunther Jäger

Keywords: L-FUZZY CONVERGENCE , L-TOPOLOGY , L-FILTER , L-DIAGONAL FILTER , L-CONVERGENCE SPACE , PRETOPOLOGICAL SPACE , DIAGONAL CONDITION

Download full text Get new issue alerts

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.

« On the Hopf-James Homomorphism over B

Fischer-Clifford Matrices of the Non-Split Group Extension 2⁶˙U ₄(2) »