کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6414115 1333811 2011 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A combinatorial problem on translation-invariant extensions of the Lebesgue measure
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A combinatorial problem on translation-invariant extensions of the Lebesgue measure
چکیده انگلیسی

It is proved that, for every natural number k≥2, there exist k subsets of the real line such that any k−1 of them can be made measurable with respect to a translation-invariant extension of the Lebesgue measure, but there is no nonzero σ-finite translation-quasi-invariant measure for which all of these k subsets become measurable. In connection with this result, a related open problem is posed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Expositiones Mathematicae - Volume 29, Issue 1, 2011, Pages 150-158
نویسندگان
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