Sumários

Lecture TP06

2 Outubro 2020, 13:30 • Telmo Peixe

  1. Resolution of exercise 2.45. (Dirac measure) and 2.49. (Lebesgue measure).
  2. Product measure.
  3. Measurable functions.

Lecture TP05

30 Setembro 2020, 14:30 • Telmo Peixe

  1. Continuity property.
  2. Carathéodory extension Theorem.
  3. Examples of measures.

Lecture TP04

25 Setembro 2020, 13:30 • Telmo Peixe

  1. Measures and properties.
  2. Resolution of exercises: 2.22, 2.28, 2.29, 2.31, and 2.32.

Lecture TP03

23 Setembro 2020, 14:30 • Telmo Peixe

Measure and probability: Borel sets, monotone classes, product σ-algebra, and measures.

Lecture TP02

18 Setembro 2020, 13:30 • Telmo Peixe

Measure and probability: sigma-algebra, measurable set, generation of sigma-algebras.