Is the set function (gamma) of Example 4.5 (ii) still a measure on the measurable space ((mathbb{R},

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Is the set function \(\gamma\) of Example 4.5 (ii) still a measure on the measurable space \((\mathbb{R}, \mathscr{B}(\mathbb{R}))\) ? Is it still a measure on the measurable space \((\mathbb{Q}, \mathbb{Q} \cap \mathscr{B}(\mathbb{R}))\) ?

Data from example 4.5

(i) (Dirac measure, unit mass) Let (X, A) be a measurable space and let x = X be some point. Then dx:  {0,

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