- Witold Hurewicz
:"Not to be confused with"

Adolf Hurwitz .**Witold Hurewicz**(June 29 1904 -September 6 1956 ) was a Polish mathematician.**Early life and education**He was born to a Jewish family in

Łódź ,Russian Empire (nowPoland ).His father was an industrialist. Hurewicz attended school in a Russian controlled Poland but with

World War I beginning before he had begunsecondary school , major changes occurred in Poland. In August 1915 the Russian forces which had held Poland for many years withdrew.Germany andAustria-Hungary took control of most of the country and theUniversity of Warsaw was refounded and it began operating as a Polish university. Rapidly, a strong school of mathematics grew up in the University of Warsaw, withtopology one of the main topics. Although Hurewicz knew intimately the topology that was being studied in Poland he chose to go toVienna to continue his studies.He studied under

Hans Hahn andKarl Menger in Vienna, receiving aPh.D. in 1926. Hurewicz was awarded aRockefeller scholarship which allowed him to spend the year 1927-28 inAmsterdam . He was assistant toBrouwer in Amsterdam from 1928 to 1936. He was given study leave for a year which he decided to spend in theUnited States . He visited theInstitute for Advanced Study inPrinceton, New Jersey and then decided to remain in the United States and not return to his position in Amsterdam. Given the impending war inEurope this was clearly a wise decision.**Career**Hurewicz worked first at the

University of North Carolina at Chapel Hill but duringWorld War II he contributed to the war effort with research onapplied mathematics . In particular, the work he did onservomechanisms at that time was classified because of its military importance. From 1945 until his death he worked at theMassachusetts Institute of Technology .Hurewicz's early work was on

set theory andtopology . The "Dictionary of Scientific Biography " describes it as: "...a remarkable result of this first period [1930] is histopological embedding ofseparable metric spaces intocompact spaces of the same (finite)dimension .*"In the field of general topology his contributions are centred around

dimension theory . He wrote an important text withHenry Wallman , "Dimension Theory ", published in 1941. A reviewer writes that the book "...is truly a classic. It presents the theory of dimension for separable metric spaces with what seems to be an impossible mixture of depth, clarity, precision, succinctness, and comprehensiveness."Hurewicz is best remembered for two remarkable contributions to mathematics, his discovery of the

higher homotopy groups in 1935-36, and his discovery ofexact sequences in 1941. His work led tohomological algebra . It was during Hurewicz's time as Brouwer's assistant in Amsterdam that he did the work on the higher homotopy groups; "...the idea was not new, but until Hurewicz nobody had pursued it as it should have been. Investigators did not expect much new information from groups, which were obviouslycommutative ..."Hurewicz had a second textbook published, but this was not until 1958 after his death. "Lectures on

ordinary differential equations " is an introduction to ordinary differential equations which again reflects the clarity of his thinking and the quality of his writing.He died during an outing at the

International Symposium on Algebraic Topology inUxmal ,Mexico after tripping and falling off the top of a Mayanziggurat . In the "Dictionary of Scientific Biography " it is suggested that he was "...a paragon of absentmindedness, a failing that probably led to his death."**ee also***

Zygmunt Janiszewski **External links***

*Solomon Lefschetz " [*http://projecteuclid.org/euclid.bams/1183521492 Witold Hurewicz, In memoriam*] " Bull. Amer. Math. Soc.**63**, (1957), 77-82.

*Wikimedia Foundation.
2010.*

### Look at other dictionaries:

**Witold Hurewicz**— (* 29. Juni 1904 in Łódź; † 6. September 1956 in Uxmal, Mexiko) war ein bedeutender polnischer Mathematiker. Hurewicz beschäftigte sich mit Topologie. Als Sohn eines Industriellen studierte Hurewicz in Warschau, später in Wien. Dort waren seine… … Deutsch Wikipedia**Witold Hurewicz**— Ne pas confondre avec le mathématicien allemand Adolf Hurwitz. Witold Hurewicz (29 juin 1904 – 6 septembre 1956) est un mathématicien polonais ayant travaillé dans le domaine de la topologie. Sommaire 1 Biographie 2 Œuvre … Wikipédia en Français**Hurewicz**— Witold Hurewicz (* 29. Juni 1904 in Łódź; † 6. September 1956 in Uxmal, Mexiko) war ein bedeutender polnischer Mathematiker. Hurewicz beschäftigte sich mit Topologie. Als Sohn eines Industriellen studierte Hurewicz in Warschau, später in Wien.… … Deutsch Wikipedia**HUREWICZ (W.)**— HUREWICZ WITOLD (1904 1956) Mathématicien américain d’origine polonaise, né à face= EU Caron ゲód ぞ (Pologne) et mort à Uxmal, au Mexique. Witold Hurewicz fit ses études supérieures à Vienne, où il passa son doctorat en 1926, puis à Amsterdam, où… … Encyclopédie Universelle**Witold**— ist ein polnischer männlicher Vorname.[1][2] Varianten Vytautas, Vytas (litauisch) Eine seltene deutschsprachige Variante des Namens ist Withold.[3] Namensträger Witold Bałażak (* 1964), polnischer Politiker der Liga Polskich Rodzin Witold… … Deutsch Wikipedia**Witold (given name)**— Witold is a male given name used mostly in Germany and Poland.It may refer to:*Vytautas the Great (1350–1430), ruler of the Grand Duchy of Lithuania from 1392 to 1430 *Witold Baran (born 1939), Polish middle distance runner *Witold Gombrowicz… … Wikipedia**Hurewicz theorem**— In mathematics, the Hurewicz theorem is a basic result of algebraic topology, connecting homotopy theory with homology theory via a map known as the Hurewicz homomorphism. The theorem is named after Witold Hurewicz, and generalizes earlier… … Wikipedia**Hurewicz**— Hụrewicz [ vɪts], Witold, amerikanischer Mathematiker polnischer Herkunft, * Lodz 29. 6. 1904, ✝ (Unfall) Uxmal (Mexiko) 6. 9. 1956; 1928/29 in Amsterdam, ab 1936 Professor an der University of North Carolina (Chapel Hill). Hurewicz wurde… … Universal-Lexikon**Витольд Гуревич**— (англ. Witold Hurewicz; 29 июня 1904, Лодзь, ныне Польша 6 сентября 1956, Ушмаль, Мексика) польский и американский математик. Биография Гуревич родился на территории царской России в еврейской семье. Когда началась Первая мировая война и… … Википедия**Гуревич В.**— Витольд Гуревич (англ. Witold Hurewicz; 29 июня 1904, Лодзь, ныне Польша 6 сентября 1956, Ушмаль, Мексика) польский и американский математик. Биография Гуревич родился на территории царской России в еврейской семье. Когда началась Первая… … Википедия