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

Udayan Darji

Colloquium Mathematicae (1993)

  • Volume: 64, Issue: 2, page 159-162
  • ISSN: 0010-1354

How to cite

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Darji, Udayan. "A Sierpiński-Zygmund function which has a perfect road at each point." Colloquium Mathematicae 64.2 (1993): 159-162. <http://eudml.org/doc/210180>.

@article{Darji1993,
author = {Darji, Udayan},
journal = {Colloquium Mathematicae},
keywords = {Darboux property; connectivity; Sierpiński-Zygmund function; ZFC; perfect road},
language = {eng},
number = {2},
pages = {159-162},
title = {A Sierpiński-Zygmund function which has a perfect road at each point},
url = {http://eudml.org/doc/210180},
volume = {64},
year = {1993},
}

TY - JOUR
AU - Darji, Udayan
TI - A Sierpiński-Zygmund function which has a perfect road at each point
JO - Colloquium Mathematicae
PY - 1993
VL - 64
IS - 2
SP - 159
EP - 162
LA - eng
KW - Darboux property; connectivity; Sierpiński-Zygmund function; ZFC; perfect road
UR - http://eudml.org/doc/210180
ER -

References

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  1. [BHL] J. B. Brown, P. Humke and M. Laczkovich, Measurable Darboux functions, Proc. Amer. Math. Soc. 102 (1988), 603-610. Zbl0651.26005
  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. Zbl0013.25007
  5. [M2] I. Maximoff, On functions of class 1 having the property of Darboux, Amer. J. Math. 65 (1943), 161-170. Zbl0063.03852
  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. Zbl0747.26008
  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. Zbl49.0179.02

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