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Separating sets by peripherally continuous functions

  • Jolanta Kosman EMAIL logo and Paulina Szczuka EMAIL logo
Published/Copyright: April 26, 2016
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 66 Issue 1

Abstract

In this paper we characterize the pairs (A0, A1) and A–, A+) of disjoint subsets of ℝ which can be separated by a peripherally continuous function.

Keywords: peripherally continuous functions; separating sets; Urysohn lemma
MSC: Primary 26A21; Secondary 26A15

This work was supported by Kazimierz Wielki University.

  1. This paper has been communicated by Ján Borsík.

References

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Received: 2013-3-13
Accepted: 2013-5-27
Published Online: 2016-4-26
Published in Print: 2016-2-1

© 2016 Mathematical Institute Slovak Academy of Sciences

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https://doi.org/10.1515/ms-2015-0118
Keywords for this article
peripherally continuous functions; separating sets; Urysohn lemma

Articles in the same Issue

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  2. Prof. RNDr. Ján Jakubík, DrSc. passed away
  3. Research Article
  4. On the number of slim, semimodular lattices
  5. Research Article
  6. Quantum computational algebra with a non-commutative generalization
  7. Research Article
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  9. Research Article
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  11. Research Article
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  13. Research Article
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  19. Research Article
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