On cardinality of the intersection of graphs of continuous functions

A. V. Kuz'minykh

doi:10.1007/bf02106617

journal article Jul 01, 1994

On cardinality of the intersection of graphs of continuous functions

A. V. Kuz'minykh

Siberian Mathematical Journal Vol. 35 No. 4 pp. 739-742 · Springer Science and Business Media LLC

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References

5

[1]

S. Banach, “über die Baire'sche Kategorie gewisser Funktionenmengen,” Studia Math.,3, 174–179 (1931). 10.4064/sm-3-1-174-179

[2]

S. Mazurkiewicz, “Sur les fonctions non dérivables,” Studia Math.,3, 92–94 (1931). 10.4064/sm-3-1-92-94

[3]

H. Auerbach and S. Banach, “über die Höldersche Bedingung,” Studia Math.,3, 180–184 (1931). 10.4064/sm-3-1-180-184

[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).

[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).

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Published: Jul 01, 1994
Vol/Issue: 35(4)
Pages: 739-742
License: View

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A. V. Kuz'minykh

Cite This Article

A. V. Kuz'minykh (1994). On cardinality of the intersection of graphs of continuous functions. Siberian Mathematical Journal, 35(4), 739-742. https://doi.org/10.1007/bf02106617

On cardinality of the intersection of graphs of continuous functions

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