Pretopological and topological lattice-valued convergence spaces

Authors:
Gunther Jäger
Affiliations:
Department of Statistics, Rhodes University, 6140 Grahamstown, South Africa
Venue:
Fuzzy Sets and Systems
Year:
2007

Citing 2
Cited 10

Abstract and concrete categories

Abstract and concrete categories
Subcategories of lattice-valued convergence spaces

Fuzzy Sets and Systems

Lattice-valued convergence spaces and regularity

Fuzzy Sets and Systems
Lattice-valued fuzzy interior operators

Fuzzy Sets and Systems
Stratified L-ordered convergence structures

Fuzzy Sets and Systems
Lattice-valued convergence spaces: Extending the lattice context

Fuzzy Sets and Systems
Lattice-valued semiuniform convergence spaces

Fuzzy Sets and Systems
Gähler's neighborhood condition for lattice-valued convergence spaces

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On stratified L-convergence spaces: Pretopological axioms and diagonal axioms

Fuzzy Sets and Systems
Diagonal conditions for lattice-valued uniform convergence spaces

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p-Topologicalness and p-regularity for lattice-valued convergence spaces

Fuzzy Sets and Systems
On (L,M)-fuzzy convergence spaces

Fuzzy Sets and Systems

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Abstract

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.