A partition theorem for Euclidean $n$-space
نویسندگان
چکیده
منابع مشابه
On Vitali’s Theorem for Groups of Motions of Euclidean Space
We give a characterization of all those groups of isometric transformations of a finite-dimensional Euclidean space, for which an analogue of the classical Vitali theorem [1] holds true. This characterization is formulated in purely geometrical terms. A well-known result due to Vitali [1] states that there are subsets of the real line R, nonmeasurable in the Lebesgue sense. Moreover, the argume...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1958
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1958-0097025-0