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Measure Theory (14/15) - Lebesgue outer measure… duration 27 minutes 25 seconds Measure Theory (14/15) - Lebesgue outer measure… Measure Theory (14/15) - Lebesgue outer measure and Lebesgue measure on the real line (2/2)	Measure Theory (14/15) - Lebesgue outer measure and Lebesgue measure on the real line (2/2) The sigma-algebra of Lebesgue measurable sets. Lebesgue measure λ (on the Lebesgue measurable sets or on the Borel sets). Further properties of Lebesgue measure λ and Lebesgue outer… further topics in analysis measure theory #measuretheory From Joel Feinstein 0 likes 21 plays 0
Measure Theory (13/15) - Lebesgue outer measure… duration 16 minutes 49 seconds Measure Theory (13/15) - Lebesgue outer measure… Measure Theory (13/15) - Lebesgue outer measure and Lebesgue measure on the real line (1/2)	Measure Theory (13/15) - Lebesgue outer measure and Lebesgue measure on the real line (1/2) Brief discussion of the following: what we hope to achieve when measuring length, area and volume; the Banach-Tarski paradox; the Carathéodory extension theorem. The definition of Lebesgue… further topics in analysis measure theory #measuretheory From Joel Feinstein 0 likes 29 plays 0
Measure Theory (12/15) - Properties of measures… duration 24 minutes 15 seconds Measure Theory (12/15) - Properties of measures… Measure Theory (12/15) - Properties of measures (2/2)	Measure Theory (12/15) - Properties of measures (2/2) Proofs of the continuity properties of measures for nested increasing unions and nested decreasing intersections of sequences of measurable sets. For more information and links to further resources,… further topics in analysis measure theory #measuretheory From Joel Feinstein 0 likes 14 plays 0