Geodesic
Subsets of the plane with small linear sections and invariant extensions of the two-dimensional Lebesgue measure.
Georgian Mathematical Journal, Tome 6 (1999) no. 5, pp. 441-446.

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Keywords: small linear section, invariant extension of a measure, Sierpiński set, Lebesgue measure 
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     author = {Kharazishvili, A.},
     title = {Subsets of the plane with small linear sections and invariant extensions of the two-dimensional {Lebesgue} measure.},
     journal = {Georgian Mathematical Journal},
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     year = {1999},
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Kharazishvili, A. Subsets of the plane with small linear sections and invariant extensions of the two-dimensional Lebesgue measure.. Georgian Mathematical Journal, Tome 6 (1999) no. 5, pp. 441-446. http://geodesic.mathdoc.fr/item/GMJ_1999__6_5_49029/