A common framework for lattice-valued uniform spaces and probabilistic uniform limit spaces

Andrew Craig; Gunther Jäger

doi:10.1016/j.fss.2008.11.002

A common framework for lattice-valued uniform spaces and probabilistic uniform limit spaces

Andrew Craig, Gunther Jäger

Rhodes University

Research output: Contribution to journal › Article › peer-review

29 Citations (Scopus)

Abstract

We study a category of lattice-valued uniform convergence spaces where the lattice is enriched by two algebraic operations. This general setting allows us to view the category of lattice-valued uniform spaces as a reflective subcategory of our category, and the category of probabilistic uniform limit spaces as a coreflective subcategory.

Original language	English
Pages (from-to)	1177-1203
Number of pages	27
Journal	Fuzzy Sets and Systems
Volume	160
Issue number	9
DOIs	https://doi.org/10.1016/j.fss.2008.11.002
Publication status	Published - 1 May 2009
Externally published	Yes

Keywords

L-convergence space
L-filter
L-uniform convergence space
L-uniform space
Probabilistic uniform limit space

ASJC Scopus subject areas

Logic
Artificial Intelligence

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10.1016/j.fss.2008.11.002

Cite this

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abstract = "We study a category of lattice-valued uniform convergence spaces where the lattice is enriched by two algebraic operations. This general setting allows us to view the category of lattice-valued uniform spaces as a reflective subcategory of our category, and the category of probabilistic uniform limit spaces as a coreflective subcategory.",

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AB - We study a category of lattice-valued uniform convergence spaces where the lattice is enriched by two algebraic operations. This general setting allows us to view the category of lattice-valued uniform spaces as a reflective subcategory of our category, and the category of probabilistic uniform limit spaces as a coreflective subcategory.

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KW - L-filter

KW - L-uniform convergence space

KW - L-uniform space

KW - Probabilistic uniform limit space

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A common framework for lattice-valued uniform spaces and probabilistic uniform limit spaces

Abstract

Keywords

ASJC Scopus subject areas

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