2 papers
math.GN2017
On two theorems of Sierpiński
Edward Grzegorek, Iwo Labuda
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…
math.HO2017
Partitions into thin sets and forgotten theorems of Kunugi and Lusin-Novikov
Edward Grzegorek, Iwo Labuda
Let be a function from a metric space to a separable metric space . If has the Baire property, then it is continuous apart a 1st category set. In 1935, Kuratowski as…