Download PDF - A Sierpiński-Zygmund function which has a perfect road at each pointAll rights reserved. Copyright exceptions and limitations apply

ArticleOriginal scientific text

Title

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

Authors 1

Affiliations

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

Bibliography

  1. [BHL] J. B. Brown, P. Humke and M. Laczkovich, Measurable Darboux functions, Proc. Amer. Math. Soc. 102 (1988), 603-610.
  2. [Br] A. M. Bruckner, Differentiation of Real Functions, Lecture Notes in Math. 659, Springer, Berlin 1978.
  3. [Ku] K. Kuratowski, Topology, Vol. I, Academic Press, New York 1966.
  4. [M1] I. Maximoff, Sur les fonctions ayant la propriété de Darboux, Prace Mat.-Fiz. 43 (1936), 241-265.
  5. [M2] I. Maximoff, On functions of class 1 having the property of Darboux, Amer. J. Math. 65 (1943), 161-170.
  6. [RGR] H. Rosen, R. G. Gibson and F. Roush, Extendable functions and almost continuous functions with a perfect road, Real Anal. Exchange, to appear.
  7. [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.
Colloquium Mathematicum
1993/64/2
Export to PBN, Opens in new tab
Pages:
159-162
Main language of publication
English
Received
1991-01-25
Published
1993
Exact and natural sciences