PARTITION OF MEASURABLE SETS

Owino Maurice Oduor; Otanga Levi Olwamba; Aywa Shem Omukunda

doi:10.24297/jam.v10i8.1870

Authors

Owino Maurice Oduor University of Kabianga P.O Box 2030-20200, Kericho, Kenya
Otanga Levi Olwamba Masinde Muliro University of Science and Technology P.O. Box 190-50100, Kakamega, Kenya
Aywa Shem Omukunda Masinde Muliro University of Science and Technology P.O. Box 190-50100, Kakamega, Kenya

DOI:

https://doi.org/10.24297/jam.v10i8.1870

Keywords:

Partition, Measurable cover, Extension procedures, count- able additivity.

Abstract

The theory of vector measure has attracted much interest among researchers in the recent past. Available results show that measurability concepts of the Lebesgue measure have been used to partition subsets of the real line into disjoint sets of nite measure. In this paper we partition measurable sets in â„œⁿ for n â‰¥ 3 into disjoint sets of nite dimension.