Geodesic
A universal sequence of continuous functions
The Teaching of Mathematics, XIV (2011) no. 2, p. 71 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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We show that for each positive integer $k$ there is a sequence $F_n:\Bbb{R}^k \rightarrow\Bbb{R}$ of {t continuous} functions which represents via point-wise limits {t arbitrary} functions $G\:X^k\rightarrow \Bbb{R}$ defined on domains $X\subseteq \Bbb{R}$ of sizes not exceeding a standard cardinal characteristic of the continuum.
Classification : 1AMS03E20 97E60 2ZDME65
Keywords: Point-wise limit, continuum, continuous function. 
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     author = {Stevo Todor\v{c}evi\'c},
     title = {A universal sequence of continuous functions},
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     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM2_2011_XIV_2_a1/}
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Stevo Todorčević. A universal sequence of continuous functions. The Teaching of Mathematics, XIV (2011) no. 2, p. 71 . http://geodesic.mathdoc.fr/item/TM2_2011_XIV_2_a1/