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

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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Official URL: http://dx.doi.org/10.1016/j.fss.2006.04.005

Abstract

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.

Item Type:Article
Uncontrolled Keywords:L-fuzzy convergence; L-topology; L-filter; L-convergence space; L-limit space; L-uniform convergence space; Function spaces; Continuous convergence
Subjects:Y Unknown > Subjects to be assigned
Divisions:Faculty > Faculty of Commerce > Statistics
Faculty > Faculty of Science > Statistics
ID Code:364
Deposited By:INVALID USER
Deposited On:05 Oct 2006
Last Modified:06 Jan 2012 16:18
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