2021–22–B

Time and Place:

• יום ג 14:00 - 12:00 in קרייטמן-זלוטובסקי(חדש) [34] חדר 205
• יום ה 14:00 - 12:00 in גולדברגר [28] חדר 107

Course topics

Metric spaces:

closed sets, open sets, Cauchy sequences, completeness, compactness, Theorem of Heine–Borel, continuity and uniform continuity of functions, uniform convergence of sequences of functions.

Measure theory:

algebras, measures and outer measures, measurable sets, discrete measure spaces, Lebesgue measure on the real line, measurable functions, Lebesgue integral, dominated convergence theorem, $L_p$-spaces as complete normed spaces. Time-permitting: signed measures and absolute continuity of measures and the Radon-Nykodim theorem.