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Teaching of MathematicsVolume 14, Issue 2, 2011, Pages 71-76

A universal sequence of continuous functions(Article)

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  • Matematički institut, SANU, Knez Mihailova 36, Beograd, 11000, Serbia

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. © 2011, Drustvo Matematicara Srbije. All rights reserved.

Author keywords

Continuous functionContinuumPoint-wise limit
  • ISSN: 14514966
  • Source Type: Journal
  • Original language: English
  • Document Type: Article
  • Publisher: Drustvo Matematicara Srbije

  Todorčević, S.; Matematički institut, SANU, Knez Mihailova 36, Beograd, Serbia;
© Copyright 2019 Elsevier B.V., All rights reserved.

Cited by 1 document

Larson, P.B. , Miller, A.W. , Steprans, J.
Universal functions
(2014) Fundamenta Mathematicae
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