Invariant extensions of the Lebesgue measure
نویسندگان
چکیده
منابع مشابه
Subsets of the Plane with Small Linear Sections and Invariant Extensions of the Two-dimensional Lebesgue Measure
We consider some subsets of the Euclidean plane R2, having small linear sections (in all directions), and investigate those sets from the point of view of measurability with respect to certain invariant extensions of the classical Lebesgue measure on R2. Many examples of paradoxical sets in a finite-dimensional Euclidean space, having small sections by hyperplanes in this space, are known in th...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 1962
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-51-2-111-115