Béla Kerékjártó
Béla Kerékjártó (October 1, 1898, Budapest – June 26, 1946, Gyöngyös) was a Hungarian mathematician who wrote numerous articles on topology.
Kerékjártó earned his Ph.D. degree from the University of Budapest. He taught at the Faculty of Sciences of the University of Szeged from 1922. In 1921 he introduced his program with a speech "On topological fundamentals of analysis and geometry" where he advocated that "complex analysis should be built with instruments of topology without metric elements such as length and area."[1]
In 1923, he published one of the first books on Topology, and it was reviewed by Solomon Lefschetz in 1925.[2] Hermann Weyl wrote that this book completely changed his views of the subject.
In 1919 he published a theorem on periodic homeomorphisms of the disc and the sphere.[3] A claim to priority to the result was made by L. E. J. Brouwer, and the subject was revisited by Samuel Eilenberg in 1934.[4] A modern treatment of Kerekjarto's theorem has been presented by Constantin and Kolev.[5]
In 1938 he returned to Budapest to teach in university there.
Kerékjártó proved that the sphere is the only compact surface that admits a 3-transitive topological group in 1941.[6]
Books
- Vorlesungen über Topologie Bd.1 Flächentopologie (1923) Springer, Grundlehren der mathematischen Wissenschaften.
- Les fondements de la géométrie. Bd.1. La construction élémentaire de la géométrie euclidienne (1955) Gauthier-Villars.
- Les fondaments de la géométrie Bd.2, Geometrie projective (1966) Gauthiers Villars.
Articles
- 1919: "A torus periodikus transformitioirol", Math. Term. tad. Értesitiö 39:213–9.
- 1930: "Geometrische Theorie der zweigliedrigen kontinuierlichen Gruppen", Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 8:107–14.
- 1934: "Sur la character topologique des representationes conformes", Comptes rendus 198:317–20.
- 1934: "Über reguläre Abbildungen von Flächen auf sich", Acta Scientiarum Mathematicarum 7:65–85 & 206.
- 1934: "Topologische Characterisierung der linearen Abbildungen", Acta Scientiarum Mathematicarum 6:235–62, esp. 250.
- 1940: "Sur les inversions dans un groupe commutative", Comptes rendus 210:288.
- 1940: "Sur le group des homographies et des antihomographies d’une variable complexe", Commentarii Mathematici Helvetici 13:68–82.
- 1941: "Sur les groups compact de transformations topologique des surfaces", Acta Mathematica 74:129–73.
References
- ^ M. Bognár & Á. Csázár, "Topology" (pp 9 to 25) in A Panorama of Hungarian Mathematics in the Twentieth Century, János Horváth (editor) Bolyai Society Mathematical Studies 14, link from Google Books
- ^ Solomon Lefschetz (1925) Review: Vorlesungen über Topologie, Bulletin of the American Mathematical Society 31(3-4):176
- ^ B. Kerekjarto (1919) "Uber die periodische transformationen der Kreisscheibe und die Kugelflasche", Mathematische Annalen 80:36–8
- ^ S. Eilenberg (1934) "Sur les transformationes periodique de la surface de la sphere", Fundamentica Mathematica 22:28–44
- ^ Adrian Constantin and Boris Kolev (2003) The theorem of Kerekjarto on periodic homeomorphisms of the disc and sphere from Internet Archive
- ^ Béla Kerékjártó (1941) "Sur la character topologique du groupe homographique de la sphere", Acta Mathematica 74:311–41
External links
- O'Connor, John J.; Robertson, Edmund F., "Béla Kerékjártó", MacTutor History of Mathematics Archive, University of St Andrews
- "A short history of the Bolyai Institute", at the János Bolyai Mathematical Institute
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