EMIS ELibM Electronic Journals Journal of Applied Analysis
Vol. 2, No. 1, pp. 41-48 (1996)

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A note on the Sierpinski partition

A.B. Kharazishvili

Institute of Applied Mathematics
University of Tbilisi
University str. 2
380043 Tbilisi 43
Republic of Georgia

Abstract: Starting with the classical Sierpi\'nski partition [7], 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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Electronic fulltext finalized on: 29 May 2002. This page was last modified: 21 Dec 2002.

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