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

D. Rajan1* and A. Beulah2

doi:10.26637/MJM0603/0016

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

Authors :

D. Rajan^1* and A. Beulah²

Author Address :

^1,2Department of Mathematics, T.B.M.L College, Porayar-609307, Tamil Nadu, India.

*Corresponding author.

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.

DOI :

10.26637/MJM0603/0016

Article Info :

Received : March 16, 2018; Accepted : June 18, 2018.