On two theorems of Sierpiński
Edward Grzegorek , Iwo Labuda
AbstractA theorem of Sierpiński says that every infinite set Q of reals contains an infinite number of disjoint subsets whose outer Lebesguemeasure is the same as that of Q. He also has a similar theorem involving Baire property. We give a general theorem of this type and its corollaries, strengthening classical results.
|Journal series||Archiv Der Mathematik, ISSN 0003-889X, (A 20 pkt)|
|Publication size in sheets||0.5|
|Keywords in English||Baire category, Baire property, μ-measurability, measurable set, completely non-measurable set, full subset, outer measure, measurable envelope|
|Score||= 20.0, 28-01-2020, ArticleFromJournal|
|Publication indicators||: 2018 = 0.692; : 2018 = 0.498 (2) - 2018=0.556 (5)|
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