IV
CONTENTS
6 Measures 60
6.1 Lebesgue measure 60
6.2 Total variation measures 62
6.3 Hausdorff measure 63
6.4 Density theorems 67
6.5 Hausdorff dimension 69
7 Real functions 71
7.1 Monotonic functions 71
7.2 Functions having cr-finite variation 77
7.3 Absolute continuity and singularity 83
7.4 s-absolute continuity 87
7.5 s-singular functions 91
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