The Lebesgue measurable and non-measurable set-Part 1#OuterMeasure#measuretheory@ProfSRMondal

Chapter 1: The Lebesgue measurable and non-measurable set
Lecture 1:
Section 1: Introduction
Provide basic definition, like as length of interval.
Section 2: Outer Measure
Here, we will delve into the concept of the outer measure, a preliminary step towards defining Lebesgue measure. We will define the outer measure formally, discuss its properties, and illustrate its application with examples. Understanding the outer measure is essential for grasping the criteria that distinguish measurable sets from non-measurable ones, setting the stage for more advanced topics in measure theory.

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