Journal of Applied Analysis
Vol. 2, No. 1, pp. 41-48 (1996)
A note on the Sierpinski partition
A.B. KharazishviliInstitute of Applied Mathematics
University of Tbilisi
University str. 2
380043 Tbilisi 43
Republic of Georgia
Abstract: Starting with the classical Sierpi\'nski partition , we consider a question concerning the existence of a nonmeasurable set in the product measure space. Also, we discuss an analogous question on the existence of a set without the Baire property in the product topological space. In particular, it is shown that the situations of measure and category are essentially different.
Keywords: Sierpinski partition, nonmeasurable set,set without the Baire property
Classification (MSC2000): 28A05, 28D05
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