We adopt throughout the convention that compact spaces are Hausdorff.
Here and throughout, $P(E)$ denotes ......
Throughout integration theory, one inevitably encounters $\infty$.
Throughout what follows, we shall freely use without explicit mention the elementary fact that ......
The letter $\chi$ will be reserved for characteristic functions throughout this book.
Then $a\le b\le c\le a$. We therefore have equality throughout.
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