PARTITION OF MEASURABLE SETS

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 ≥ 3 into disjoint sets of nite dimension.

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Author Biographies

  • Owino Maurice Oduor, University of Kabianga P.O Box 2030-20200, Kericho, Kenya
    Department of Mathematics and Computer Science
  • Otanga Levi Olwamba, Masinde Muliro University of Science and Technology P.O. Box 190-50100, Kakamega, Kenya
    Department of Mathematics
  • Aywa Shem Omukunda, Masinde Muliro University of Science and Technology P.O. Box 190-50100, Kakamega, Kenya
    Department of Mathematics,
JOURNAL OF ADVANCES IN MATHEMATICS

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Published

2015-06-18

Issue

Vol. 10 No. 8 (2015)

Section

Articles

License

Creative Commons License All articles published in Journal of Advances in Linguistics are licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

PARTITION OF MEASURABLE SETS. (2015). JOURNAL OF ADVANCES IN MATHEMATICS, 10(8), 3759-3763. https://doi.org/10.24297/jam.v10i8.1870