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starting in 1922. In 1921 he introduced his program with a talk "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."
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in 1934. A modern treatment of Kerékjártó's theorem has been presented by Adrian
Constantin and Boris Kolev.
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B. Kerekjarto (1919) "Uber die periodische transformationen der
Kreisscheibe und die Kugelflasche",
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Béla Kerékjártó (1941) "Sur le caractère topologique du groupe homographique de la sphère.",
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Les
Fondements de la Géométrie. Bd.1. La construction élémentaire de la géométrie euclidienne
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Kerékjártó was appointed head of the
Department of Geometry and Descriptive Geometry at the
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In 1923, Kerékjártó published one of the first books on
Topology, which was reviewed by
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1940: "Sur le group des homographies et des antihomographies d’une variable complexe",
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1919: "A torus periodikus transformitioirol", Math. Term. tad. Értesitiö 39:213–9.
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1941: "Sur les groups compact de transformations topologique des surfaces",
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The theorem of
Kerekjarto on periodic homeomorphisms of the disc and sphere
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1930: "Geometrische
Theorie der zweigliedrigen kontinuierlichen Gruppen",
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of the disc and the sphere. A claim to priority to the result was made by
304:(1934) "Sur les transformationes periodique de la surface de la sphere",
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1934: "Sur la character topologique des representationes conformes",
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wrote that this book completely changed his views of the subject.
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A Panorama of
Hungarian Mathematics in the Twentieth Century
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Les Fondaments de la Géométrie Bd.2, Geometrie projective
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1934: "Über reguläre Abbildungen von Flächen auf sich",
206:
1940: "Sur les inversions dans un groupe commutative",
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M. Bognár & Á. Csázár, "Topology" (pp 9 to 25) in
148:, Grundlehren der mathematischen Wissenschaften,
146:Vorlesungen über Topologie Bd.1 Flächentopologie
277:Bulletin of the American Mathematical Society
42:mathematician who wrote numerous articles on
8:
110:In 1938 he returned to Budapest to teach at
444:Academic staff of Eötvös Loránd University
414:Academic staff of the University of Szeged
334:"A short history of the Bolyai Institute"
317:Adrian Constantin and Boris Kolev (2003)
383:MacTutor History of Mathematics Archive
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404:20th-century Hungarian mathematicians
107:of the University of Szeged in 1925.
7:
434:Mathematicians from Austria-Hungary
338:János Bolyai Mathematical Institute
253:Mathematical Studies 14, link from
105:János Bolyai Mathematical Institute
96:, and the subject was revisited by
85:In 1919 he published a theorem on
14:
215:Commentarii Mathematici Helvetici
439:Eötvös Loránd University alumni
201:Acta Scientiarum Mathematicarum
194:Acta Scientiarum Mathematicarum
1:
419:Mathematicians from Budapest
117:Kerékjártó proved that the
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272:Vorlesungen über Topologie
57:in 1920. He taught at the
388:University of St Andrews
306:Fundamentica Mathematica
112:Eötvös Loránd University
16:Hungarian mathematician
55:University of Budapest
49:Kerékjártó earned his
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290:Mathematische Annalen
22:
374:Robertson, Edmund F.
165:, Gauthiers-Villars.
63:University of Szeged
30:(1 October 1898, in
372:O'Connor, John J.;
203:6:235–62, esp. 250.
158:, Gauthier-Villars.
59:Faculty of Sciences
34:– 26 June 1946, in
196:7:65–85 & 206.
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378:"Béla Kerékjártó"
266:Solomon Lefschetz
133:topological group
76:Solomon Lefschetz
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350:Acta Mathematica
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323:Internet Archive
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302:Samuel Eilenberg
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222:Acta Mathematica
98:Samuel Eilenberg
94:L. E. J. Brouwer
53:degree from the
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70:Life and career
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130:3-transitive
121:is the only
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80:Hermann Weyl
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429:1946 deaths
424:1898 births
409:Topologists
279:31(3-4):176
189:198:317–20.
398:Categories
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229:References
224:74:129–73.
336:, at the
249:(editor)
217:13:68–82.
182:8:107–14.
135:in 1941.
78:in 1925.
40:Hungarian
308:22:28–44
270:Review:
210:210:288.
170:Articles
87:periodic
44:topology
38:) was a
36:Gyöngyös
32:Budapest
357:0013311
292:80:36–8
268:(1925)
126:surface
123:compact
61:of the
161:1966:
154:1955:
144:1923:
119:sphere
321:from
139:Books
51:Ph.D.
400::
386:,
380:,
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354:MR
275:,
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114:.
46:.
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