Measure theory

5 lives in this collection worked in measure theory, from 1868 to today. Each has a full course on their life and the mathematics and physics they made.

Often together with: set theory, probability theory, real analysis, topology. All fields

  • Felix Hausdorff1868–1942

    Founder of general topology and of the theory of ordered sets, creator of Hausdorff measure and dimension, who also wrote philosophy and literature as Paul Mongré.

    set theory, general topology, measure theory

  • Émile Borel1871–1956

    French analyst who created the first theory of measure, founded denumerable probability and the theory of games of strategy, and served as Minister of Marine.

    measure theory, complex analysis, divergent series

  • Henri Lebesgue1875–1941

    Creator of Lebesgue measure and the Lebesgue integral, the foundation of modern analysis and probability.

    real analysis, measure theory, fourier analysis

  • Stefan Banach1892–1945

    Founder of modern functional analysis, who introduced complete normed spaces and proved its fundamental theorems, and co-author of the Banach–Tarski paradox.

    functional analysis, measure theory, real analysis

  • Stanislaw Ulam1909–1984

    Polish-American mathematician of the Lwów school who introduced measurable cardinals, conjectured the Borsuk–Ulam theorem, invented the Monte Carlo method, co-designed the hydrogen bomb and ran the Fermi–Pasta–Ulam–Tsingou experiment.

    set theory, measure theory, topology