Skip to main content
Log in

On cardinality of the intersection of graphs of continuous functions

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. S. Banach, “über die Baire'sche Kategorie gewisser Funktionenmengen,” Studia Math.,3, 174–179 (1931).

    Google Scholar 

  2. S. Mazurkiewicz, “Sur les fonctions non dérivables,” Studia Math.,3, 92–94 (1931).

    Google Scholar 

  3. H. Auerbach and S. Banach, “über die Höldersche Bedingung,” Studia Math.,3, 180–184 (1931).

    Google Scholar 

  4. A. V. Kuz'minykh, “The inverse image of each nonextremal value of almost every continuous function has the cardinality of the continuum,” Dokl. RAN,331, No. 1, 14–16 (1993).

    Google Scholar 

  5. A. V. Kuz'minykh, “A continuous function whose graph intersects the graph of any polynomyal in a set of the cardinality of the continuum,” Dokl. Akad. Nauk SSSR,317, No. 4, 826–828 (1991).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The research was partially supported by the International Foundation “A Cultural Initiative” and the Foundation “Mathematics” of the Russian Academy of Sciences.

Translated fromSibirskii Matematicheskii Zhurnal, Vol. 35, No. 4, pp. 830–834, July–August, 1994.

The author expresses his gratitude to A. D. Aleksandrov for useful discussion.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kuz'minykh, A.V. On cardinality of the intersection of graphs of continuous functions. Sib Math J 35, 739–742 (1994). https://doi.org/10.1007/BF02106617

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02106617

Keywords

Navigation