An incidence theorem for a class of continuous real functions
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- by V. J. Baston and F. A. Bostock
- Proc. Amer. Math. Soc. 64 (1977), 295-299
- DOI: https://doi.org/10.1090/S0002-9939-1977-0463374-9
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Abstract:
Sufficient conditions are obtained for a real function to have a line cutting its graph in exactly two points. Examples are given to show that none of these conditions may be omitted.References
- Frederick Bagemihl, A theorem on intersections of prescribed cardinality, Ann. of Math. (2) 55 (1952), 34–37. MR 45190, DOI 10.2307/1969417
- W. Sierpiński, Une généralisation des théorèmes de S. Mazurkiewicz et F. Bagemihl, Fund. Math. 40 (1953), 1–2 (French). MR 59992, DOI 10.4064/fm-40-1-1-2
Bibliographic Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 64 (1977), 295-299
- MSC: Primary 26A15
- DOI: https://doi.org/10.1090/S0002-9939-1977-0463374-9
- MathSciNet review: 0463374