Lattice-valued continuous convergence is induced by a lattice-valued uniform convergence structure

Description

We define a stratified L-uniform convergence structure on the set of all continuous mappings from a stratified L-limit space to a stratified L-uniform convergence space. This structure induces L-continuous convergence. This shows that the category of all L-limit-uniformizable spaces is cartesian closed.

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1. http://eprints.ru.ac.za/364/1/Lattice-valued_continuous_convergence_is_induced_by_a_lattice-valued_uniform_convergence_structure.pdf
2. Jäger, G. (2006) Lattice-valued continuous convergence is induced by a lattice-valued uniform convergence structure. Fuzzy Sets and Systems, 157 (20). pp. 2715-2724. ISSN 0165-0114

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Identifer	oai:union.ndltd.org:Rhodes/oai:eprints.ru.ac.za:364
Date	16 October 2006
Creators	Jäger, G.
Source Sets	Rhodes University SA
Detected Language	English
Type	Article, PeerReviewed
Format	application/pdf
Relation	http://dx.doi.org/10.1016/j.fss.2006.04.005, http://eprints.ru.ac.za/364/