Catalog · Real Analysis Lecture 4 of 25 Lecture 4: The Characterization of the Real Numbers ← Previous Lecture 3: Cantor's Remarkable Theorem and the Rationals' Lack of the Least Upper Bound Property Next → Lecture 5: The Archimedian Property, Density of the Rationals, and Absolute Value ✓ Mark complete Materials Transcript (PDF) ↗ transcript