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, ArticleFromJournal|
= 20.0, ArticleFromJournal
|Publication indicators||: 2017 = 0.59 (2) - 2017=0.583 (5)|
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