# Exceptional directions for Sierpiński's nonmeasurable sets

B. Kirchheim; Tomasz Natkaniec

Fundamenta Mathematicae (1992)

- Volume: 140, Issue: 3, page 237-245
- ISSN: 0016-2736

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topKirchheim, B., and Natkaniec, Tomasz. "Exceptional directions for Sierpiński's nonmeasurable sets." Fundamenta Mathematicae 140.3 (1992): 237-245. <http://eudml.org/doc/211943>.

@article{Kirchheim1992,

author = {Kirchheim, B., Natkaniec, Tomasz},

journal = {Fundamenta Mathematicae},

keywords = {Sierpiński’s nonmeasurable sets; Lebesgue measurability; Borel sets; nonprojective sets; sections; Baire property},

language = {eng},

number = {3},

pages = {237-245},

title = {Exceptional directions for Sierpiński's nonmeasurable sets},

url = {http://eudml.org/doc/211943},

volume = {140},

year = {1992},

}

TY - JOUR

AU - Kirchheim, B.

AU - Natkaniec, Tomasz

TI - Exceptional directions for Sierpiński's nonmeasurable sets

JO - Fundamenta Mathematicae

PY - 1992

VL - 140

IS - 3

SP - 237

EP - 245

LA - eng

KW - Sierpiński’s nonmeasurable sets; Lebesgue measurability; Borel sets; nonprojective sets; sections; Baire property

UR - http://eudml.org/doc/211943

ER -

## References

top- [1] D. L. Cohn, Measure Theory, Birkhäuser, 1980.
- [2] M. Frantz, On Sierpiński's nonmeasurable set, Fund. Math. 139 (1991), 17-22. Zbl0757.28002
- [3] A. Miller, Some properties of measure and category, Trans. Amer. Math. Soc. 266 (1981), 93-114. Zbl0472.03040
- [4] J. Oxtoby, Measure and Category, Springer, 1971.
- [5] J. Shoenfield, Martin's Axiom, Amer. Math. Monthly 82 (1975), 610-617. Zbl0314.02069
- [6] W. Sierpiński, Sur un problème concernant les ensembles mesurables superficiellement, Fund. Math. 1 (1920), 112-115. Zbl47.0180.04
- [7] U. Tricot, Two definitions of fractional dimension, Math. Proc. Cambridge Philos. Soc. 91 (1982), 57-75.

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