Äuro Kurepa
Đuro Kurepa, Serbian: Ђуро Курепа, August also Dura Korepa, Djuro Kurepa ( English transcription ), George Kurepa, Georg Kurepa, (born 16 1907 in Majske Poljane at Glina (Croatia ) as Durad Kurepa, † November 2, 1993 in Belgrade ) was a Yugoslavian mathematician who was concerned with set theory, infinite combinatorics, general topology, and number theory.
Life
Kurepa was the youngest of 14 Ki, change, was born as Durad and changed its name during the Second World War in Duro. His nephew Svetozar Kurepa was also a prominent Yugoslav mathematician. He studied Physics and Mathematics in Zagreb among others, the mathematician Vladimir Varicak (1865-1942) with the conclusion of 1931. Afterwards he was a doctorate in Paris at the Sorbonne and the College de France and was founded in 1935 with Maurice Fréchet, with Arnaud Denjoy and Paul Montel belonged to the board of examiners. In 1937 he was in Warsaw with Waclaw Sierpiński and he was several times in the United States (1950 Boston, Berkeley, Chicago, Los Angeles, 1959 Institute for Advanced Study, Columbia University in 1959, University of Colorado at Boulder, 1960). From 1938 he was assistant professor at the University of Zagreb, with full professor from 1946. From 1943 he was head of the Mathematical Institute. From 1965 he taught at the University of Belgrade, where he was also in 1968/69 Director of the Mathematical Institute. 1968 to 1972 he was president of the Serbian Council of Education. 1970 to 1980 he was head of the Mathematics Institute of the Serbian Academy of Sciences ( SANU ).
He had many international contacts and mathematician Paul Erdős as, Alfred Tarski, Pavel Sergeevich Aleksandrov, Thomas Jech, Nikolai Alexandrovich Shanin and Marc Krasner visited Belgrade on his invitation. At Princeton he met Kurt Gödel and Albert Einstein.
In works around 1935 ( in the context of his PhD thesis), he led a partially well-ordered sets ( called by him tableaux ramifiés ) and developed the theory of trees in set theory and introduced the designations of a Suslin and Aronszajn trees. He was convinced early on in the 1930s by the independence of Suslin and continuum hypothesis of the Zermelo -Fraenkel axioms of set theory.
In 1954/55 he was a member of the CERN group at Gunnar Källen in Copenhagen (where there was also an exchange with Wolfgang Pauli ). In 1954 he was invited speaker at the International Congress of Mathematicians in Amsterdam (Le role of mathematiques et du mathematicien al'epoque actuelle ) and Edinburgh 1958 ( Some principles of mathematical education).
He published initially in French, later mainly in English (but also in German, Russian, Italian). He also spoke Spanish and classical languages.
He was married twice. In his first marriage with Ruzica martinis, with whom he had a daughter, his second wife, Nada Jagic, with whom he had four children.
He received many awards in Yugoslavia, including the AVNOJ price. He was a member of the Serbian ( full member since 1988) and the Yugoslav Academy of Sciences ( associate member since 1952) and the Academy of Sciences of Bosnia - Herzegovina ( 1984).
Among his doctoral students were Aleksandar Ivić and Stevo Todorčević.
Writings
- Ensembles ordonnées et ramifiés, Thesis, Paris 1935, published in Pub. Math Univ. Belgrade, Volume 4, 1935, 1-138 (1934 appeared to also have essays in the Comptes Rendus Acad. Sci. Paris)
- Ensembles linéaires et une classe of Tableaux ramifiés ( Tableaux de ramifié M. Aronszajn ), Pub. Math Univ. Belgrade, band 6/7, 1937/39, pp. 129-160
- The theory of sets, Zagreb: Skolska knijga 1951 ( Serbian )
- Higher Algebra, Zagreb 1965, Belgrade 1969 ( Serbian )
- Aleksandar Ivic (Editor ): Selected Papers of Duro Kurepa, Belgrade, Institute of Mathematics, 1996
He was author or co -author of 33 textbooks in Serbo-Croatian and published over 600 articles.