Title
Regularity: Lattice-valued Cauchy spaces
Abbreviated Journal Title
Fuzzy Sets Syst.
Keywords
Lattice-valued Cauchy spaces; Regularity; Completions; CONVERGENCE SPACES; COMPLETIONS; Computer Science, Theory & Methods; Mathematics, Applied; Statistics &; Probability
Abstract
A category of lattice-valued Cauchy spaces is defined, and its properties are investigated. The relationship between this category and the recent work by Jager is presented. The notion of regularity in the Cauchy space context is the primary emphasis here. In particular, the category consisting of the regular Cauchy spaces is shown to be bireflective in the category of all lattice-valued Cauchy spaces having Cauchy-continuous maps as its morphisms. Moreover, completions are also investigated. (C) 2011 Elsevier B.V. All rights reserved.
Journal Title
Fuzzy Sets and Systems
Volume
190
Publication Date
1-1-2012
Document Type
Article
Language
English
First Page
94
Last Page
104
WOS Identifier
ISSN
0165-0114
Recommended Citation
"Regularity: Lattice-valued Cauchy spaces" (2012). Faculty Bibliography 2010s. 2324.
https://stars.library.ucf.edu/facultybib2010/2324
Comments
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