Zeros of continuous functions and the structure of two function spaces

Vladimír Baláž; Tibor Šalát

Mathematica Slovaca (2002)

  • Volume: 52, Issue: 4, page 397-408
  • ISSN: 0232-0525

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Baláž, Vladimír, and Šalát, Tibor. "Zeros of continuous functions and the structure of two function spaces." Mathematica Slovaca 52.4 (2002): 397-408. <http://eudml.org/doc/32399>.

@article{Baláž2002,
author = {Baláž, Vladimír, Šalát, Tibor},
journal = {Mathematica Slovaca},
keywords = {Lebesgue measure; Hausdorff dimension; porosity of a set; residual set},
language = {eng},
number = {4},
pages = {397-408},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Zeros of continuous functions and the structure of two function spaces},
url = {http://eudml.org/doc/32399},
volume = {52},
year = {2002},
}

TY - JOUR
AU - Baláž, Vladimír
AU - Šalát, Tibor
TI - Zeros of continuous functions and the structure of two function spaces
JO - Mathematica Slovaca
PY - 2002
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 52
IS - 4
SP - 397
EP - 408
LA - eng
KW - Lebesgue measure; Hausdorff dimension; porosity of a set; residual set
UR - http://eudml.org/doc/32399
ER -

References

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  1. BENAVIDES T. D., How many zeros does a continuous function have?, Amer. Math. Monthly 93 (1986), 464-466. (1986) Zbl0627.26003MR0843192
  2. KURATOWSKI K., Topologie I, PWN, Warszawa, 1958. (1958) 
  3. ROGERS C. A., Hausdorff Measures,/, Cambridge Univ. Press, Cambridge, 1970. (1970) Zbl0204.37601MR0281862
  4. ŠALÁT T., On functions that are monotone on no interval, Amer. Math. Monthly 88 (1981), 754-755. (1981) Zbl0481.26004MR0668404
  5. THOMSON B. S., Real Functions, Springer-Verlag, Berlin - Heidelberg - New York - Tokyo, 1980. (1980) MR0818744

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