Characterization of continuity for real valued functions in terms of connectedness

• Autores: Michal Ryszard Wójcik, Michal Stanislav Wójcik
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 33, Nº 4, 2007, págs. 1027-1031
• Idioma: inglés
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• Resumen

  • In this paper we prove that for any real-valued function defined on a connected topological space being continuous is equivalent to having its graph connected coupled with the complement of the graph being disconnected.