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OUTER MEASURE AND ITS PROPERTIES-I

YouTubeDr P K Chaurasia

OUTER MEASURE AND ITS PROPERTIES-I

This lecture discusses the definition and properties of outer measure ($\mu^$) and introduces the concept of $\mu^$-measurable sets. The outer measure $\mu^: \mathcal{P}(X) \longrightarrow [0, \infty]$ induced by a measure $\mu: \mathcal{A} \longrightarrow [0, \infty]$ is defined as: $$\mu^{}(E) := \inf \left{ \sum_{i=1}^{\infty} \mu(A_i) \mid ...

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