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

Title: A common framework for lattice-valued uniform spaces and probabilistic uniform limit spaces
Creator: Craig, Andrew P K
Creator: Jäger, Gunter
Date Issued: 2009
Date: 2009
Type: Article
Identifier: vital:6784
Identifier: http://hdl.handle.net/10962/d1006927
Description: 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.
Format: 39 pages
Format: pdf
Language: English
Relation: Craig, A. and Jäger, G. (2009) A common framework for lattice-valued uniform spaces and probabilistic uniform limit spaces. Fuzzy Sets and Systems, 160 (9). pp. 1177-1203. Available at: http://www.sciencedirect.com/science/article/pii/S0165011408005228

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RU Department of Mathematics (Pure and Applied)

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