Pretopological and topological lattice-valued convergence spaces

: We show that the classical axiom which characterizes pretopological convergence spaces splits into two axioms in the general Heyting algebra-valued case. Furthermore we present a generalization of Kowalski’s diagonal condition to the lattice-valued case.

• Type: Journal
• Year: 2007
• Where: FSS
• Authors: Gunther Jäger
• Keywords: Classical Axiom, FSS 2007, Kowalski’s Diagonal Condition, Pretopological Convergence