A Sierpiński-Zygmund function which has a perfect road at each point

• Autorzy: Udayan B. Darji
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1993
• Tom: 64
• Numer: 2
• Strony: 159-162

Daty

wydano

1993

otrzymano

1991-01-25

Twórcy

autor

Udayan B. Darji

• Department of Mathematics, Auburn University, 228 Parker Hall, Auburn, Alabama 36830, U.S.A.

Bibliografia

• [BHL] J. B. Brown, P. Humke and M. Laczkovich, Measurable Darboux functions, Proc. Amer. Math. Soc. 102 (1988), 603-610.
• [Br] A. M. Bruckner, Differentiation of Real Functions, Lecture Notes in Math. 659, Springer, Berlin 1978.
• [Ku] K. Kuratowski, Topology, Vol. I, Academic Press, New York 1966.
• [M1] I. Maximoff, Sur les fonctions ayant la propriété de Darboux, Prace Mat.-Fiz. 43 (1936), 241-265.
• [M2] I. Maximoff, On functions of class 1 having the property of Darboux, Amer. J. Math. 65 (1943), 161-170.
• [RGR] H. Rosen, R. G. Gibson and F. Roush, Extendable functions and almost continuous functions with a perfect road, Real Anal. Exchange, to appear.
• [SZ] W. Sierpiński et A. Zygmund, Sur une fonction qui est discontinue sur tout ensemble de puissance du continu, Fund. Math. 4 (1923), 316-318.