2017/09/27 by Edward Grzegorek, Grzegorek, Edward, Iwo Labuda +1 · 1 citation
Mathematics · #FOS: Mathematics #General Topology (math.GN) #math.GN
paper · pdf · doi:10.48550/arxiv.1709.09607
In the 1st replacement Proposition 3.4, Corollary 3.5 and 3.6 have been added. In the 2nd replacement subsection 4.2 in the Appendix (= Section 4) has been added. Next, a few improvement in the presentation were done, reference [12] was added, and a correction in the proof of Proposition 4.1 was introduced. Presently, historical comments are slightly modified
arxiv created 2018/04/08 · arxiv updated 2018/04/10
A theorem of Sierpiński says that every infinite set Q of reals contains an infinite number of disjoint subsets whose outer Lebesgue measure is the same as that of Q. He also has a similar theorem involving the Baire property. We give a general theorem of this type and its corollaries, strengthening classical results.