Compactification of lattice-valued convergence spaces

Authors:
Gunther Jäger
Affiliations:
Department of Statistics, Rhodes University, Grahamstown, South Africa
Venue:
Fuzzy Sets and Systems
Year:
2010

Citing 4
Cited 6

Abstract and concrete categories

Abstract and concrete categories
On many-valued stratified L-fuzzy convergence spaces

Fuzzy Sets and Systems
Lattice-valued convergence spaces and regularity

Fuzzy Sets and Systems
Subcategories of lattice-valued convergence spaces

Fuzzy Sets and Systems

Compactness in lattice-valued function spaces

Fuzzy Sets and Systems
A note on regularity

Fuzzy Sets and Systems
A one-point compactification for lattice-valued convergence spaces

Fuzzy Sets and Systems
Largest and smallest T2-compactifications of lattice-valued convergence spaces

Fuzzy Sets and Systems
Regularity: Lattice-valued Cauchy spaces

Fuzzy Sets and Systems
Standard fuzzy uniform structures based on continuous t-norms

Fuzzy Sets and Systems

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Abstract

We define compactness for stratified lattice-valued convergence spaces and show that a Tychonoff theorem is true. Further a generalization of the classical Richardson compactification is given. This compactification has a universal property.