Owino, Maurice OduorOtanga, Levis OlwambaAywa, Shem2019-04-302019-04-302015-06-1823471921http://erepository.kibu.ac.ke/handle/123456789/782The 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 finite measure. In this paper we partition measurable sets in Rn for n ≥ 3 into disjoint sets of finite dimension.enAttribution-NonCommercial-ShareAlike 3.0 United Stateshttp://creativecommons.org/licenses/by-nc-sa/3.0/us/PartitionMeasurable coverExtension procedurescountable additivity.Article