| Authors: | Todorčević, Stevo | Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | A universal sequence of continuous functions | Journal: | Teaching of Mathematics | Volume: | 14 | Issue: | 2 | First page: | 71 | Last page: | 76 | Issue Date: | 1-Jan-2011 | ISSN: | 1451-4966 | Abstract: | We show that for each positive integer k there is a sequence Fn: Rk→ R of continuous functions which represents via point-wise limits arbitrary functions G: Xk → R defined on domains X (formula presented) R of sizes not exceeding a standard cardinal characteristic of the continuum. |
Keywords: | Continuous function | Continuum | Point-wise limit | Publisher: | Društvo Matematičara Srbije |
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