A one-point compactification for lattice-valued convergence spaces

Authors:
Gunther Jäger
Affiliations:
Department of Statistics, Rhodes University, Grahamstown, South Africa
Venue:
Fuzzy Sets and Systems
Year:
2012

Citing 6
Cited 0

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
Compactification of lattice-valued convergence spaces

Fuzzy Sets and Systems
Compactness in lattice-valued function spaces

Fuzzy Sets and Systems

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Abstract

We define a lattice-valued one-point compactification for a non-compact lattice-valued T2-space and find criteria when it is smaller than another T2-compactification of the same space. Also the concept of local boundedness is introduced and characterized using the lattice-valued one-point compactification and the lattice-valued Richardson compactification.