Mathematician:Pavel Samuilovich Urysohn
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Mathematician
Ukrainian mathematician mainly working in analysis and topology.
Introduced the concept of compactness with Pavel Alexandrov in 1923.
Drowned in rough seas while swimming off the coast of France.
Nationality
Ukrainian
History
- Born: 3 Feb 1898, Odessa, Ukraine
- Died: 17 Aug 1924 off the coast of Batz-sur-Mer, France
Theorems and Definitions
- Fréchet-Urysohn Space (with Maurice René Fréchet)
- Urysohn Space
- Urysohn Function
- Urysohn's Metrization Theorem
- Urysohn's Lemma
- Menger-Urysohn Dimension (with Karl Menger)
Results named for Pavel Samuilovich Urysohn can be found here.
Definitions of concepts named for Pavel Samuilovich Urysohn can be found here.
Publications
- 1923: Une condition nécessaire et suffisante pour qu'une classe $(L)$ soit une classe $(B)$ (C.R. Acad. Sci. Vol. 177: pp. 1274 – 1276) (with Pavel Sergeyevich Alexandrov)
- 1924: Zur Theorie der topologischen Räume (Math. Ann. Vol. 92: pp. 258 – 266) (with Pavel Sergeyevich Alexandrov)
- 1924: Uber Metrization des kompakten topologischen Raumes (Math. Ann. Vol. 92: pp. 275 – 293)
- 1925: Uber die Machtigkeit der zusammenhängenden Mengen (Math. Ann. Vol. 94: pp. 262 – 295)
- 1925: Zum Metrizations problem (Math. Ann. Vol. 94: pp. 309 – 315)
- 1929: Mémoire sur les espaces topologiques compacts (Verh. Konink. Acad. Wetensch. Amsterdam Vol. 14: pp. 1 – 96) (with Pavel Sergeyevich Alexandrov)
Also known as
His surname can also be found written as Uryson.