Geodesic
A nonstandard analysis characterization of Arzela's quasi-uniform convergence for sequences of real functions
Portugaliae mathematica, Tome 49 (1992) no. 1, pp. 1-9

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Keywords: quasi-uniform convergence, Nelson's internal set theory, theorem of Arzelà, sequence of continuous real functions 
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     author = {Loiseau, Bruno},
     title = {A nonstandard analysis characterization of {Arzela's} quasi-uniform convergence for sequences of real functions},
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     zbl = {0765.26011},
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     url = {http://geodesic.mathdoc.fr/item/PORMA_1992__49_1_115773/}
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Loiseau, Bruno. A nonstandard analysis characterization of Arzela's quasi-uniform convergence for sequences of real functions. Portugaliae mathematica, Tome 49 (1992) no. 1, pp. 1-9. http://geodesic.mathdoc.fr/item/PORMA_1992__49_1_115773/