Mikhail Jakowlewitsch Suslin

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Mikhail Jakowlewitsch Suslin ( Russian Михаил Яковлевич Суслин ; * 3 November July / 15 November  1894 greg. In Krassawka near Saratow ; † October 21, 1919 in Moscow ) was a Russian mathematician who made important contributions to measure theory and descriptive set theory .

Life

Suslin studied from 1913 to 1917 at Lomonossow University in Moscow and was a student of Nikolai Nikolajewitsch Lusin and Dmitri Fjodorowitsch Jegorow , in whose seminar he was a fellow student of Wacław Sierpiński and Pawel Urysohn . In 1916 Suslin proved the then sensational result that the Borel sets (B sets) introduced by the French mathematician Émile Borel do not have to be Borel sets even when projecting from the plane onto a straight line (as Henri Lebesgue originally said to have proven). The following collaboration with Lusin gave rise to the theory of A-sets (Suslin sets or analytical sets ), which includes the Borel sets. Suslin also characterized the Borel sets among the analytical sets as precisely those which themselves and their complement are analytic. The 1917 publication was the only one from Suslin. In 1919 he died of typhus .

Suslin is also known for the Suslin hypothesis , published posthumously as a problem in the first volume of the newly founded Fundamenta Mathematicae. It deals with the characterization of real numbers through their order properties. In the 1960s it was shown (by Robert M. Solovay , Stanley Tennenbaum , Thomas Jech ) that, like the continuum hypothesis, it is independent of the axioms of the Zermelo-Fraenkel set theory.

See also

literature

  • Loren Graham , Jean-Michel Kantor: Naming Infinity: A True Story of Religious Mysticism and Mathematical Creativity. Harvard University Press 2009
  • Igoshin: A short biography of Mikhail Yakovlevich Souslin. In: Russian Mathematical Surveys. Vol. 51, 1996, No. 3, pp. 371-383.

Web links

Individual evidence

  1. ↑ Suslin, Sur une définition des ensembles mesurables B sans nombres transfinis, Compte Rendu Acad. Sci. Paris, Vol. 164, 1917, pp. 88-91
  2. ^ Pavel Sergeevich Alexandrov later claimed that Lusin had named her after him. From the documents in the Lusin trial, in which Alexandrov was ingloriously involved, it emerged in 1999 (according to Alexandrov's own statements) that this was wrong
  3. ^ Suslin, Problems 3, Fundamenta Mathematicae, Vol. 1, 1920, p. 223
  4. ↑ by Suslin formulated not as a hypothesis, but as a problem
personal data
SURNAME Suslin, Mikhail Jakowlewitsch
ALTERNATIVE NAMES Суслин, Михаил Яковлевич (Russian spelling)
BRIEF DESCRIPTION Russian mathematician
DATE OF BIRTH November 15, 1894
PLACE OF BIRTH Krassawka
DATE OF DEATH October 21, 1919
Place of death Moscow