A type of Lusin’s theorem for regular monotone auto continuous measure space

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DOI:

https://doi.org/10.26637/MJM0603/0016

Abstract

In this paper we contemplate on the study on monotone (uniformly) auto continuous regular set multi functions. Lusin’s theorem is generalized to uniformly auto continuous measure spaces. Egroffs theorem for fuzzy measures is proved on this theoretical setting.

Keywords:

Uniformly auto continuous, Monotone measure Regular, Lusin’s theorem

Mathematics Subject Classification:

Mathematics
  • D. Rajan Department of Mathematics, T.B.M.L College, Porayar-609307, Tamil Nadu, India.
  • A. Beulah Department of Mathematics, T.B.M.L College, Porayar-609307, Tamil Nadu, India.
  • Pages: 563-568
  • Date Published: 01-07-2018
  • Vol. 6 No. 03 (2018): Malaya Journal of Matematik (MJM)

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Published

01-07-2018

How to Cite

D. Rajan, and A. Beulah. “A Type of Lusin’s Theorem for Regular Monotone Auto Continuous Measure Space”. Malaya Journal of Matematik, vol. 6, no. 03, July 2018, pp. 563-8, doi:10.26637/MJM0603/0016.