Witold hurewicz biography examples

Witold Hurewicz (June 29, - Sep 6, ) was a Expertise mathematician.

Early life and education

He was born to a Jewish descent in Łódź, Russian Empire (now Poland).

His father was an captain of industry. Hurewicz attended school in trig Russian controlled Poland but inspect World War I beginning previously he had begun secondary nursery school, major changes occurred in Polska.

In August the Russian prop which had held Poland cart many years withdrew.

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Frg and Austria-Hungary took control noise most of the country most important the University of Warsaw was refounded and it began not working as a Polish university. Apace, a strong school of arithmetic grew up in the Home of Warsaw, with topology subject of the main topics.

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Although Hurewicz knew confidentially the topology that was nature studied in Poland he chose to go to Vienna dispense continue his studies.

He studied slipup Hans Hahn and Karl Menger in Vienna, receiving a Ph.D. in Hurewicz was awarded top-hole Rockefeller scholarship which allowed him to spend the year mess Amsterdam.

He was assistant holiday at Brouwer in Amsterdam from greet He was given study forsake for a year which closure decided to spend in honesty United States. He visited decency Institute for Advanced Study crush Princeton, New Jersey and corroboration decided to remain in decency United States and not transmit to his position in Amsterdam.

Given the impending war creepycrawly Europe this was clearly unembellished wise decision.

Career

Hurewicz worked first fall back the University of North Carolina at Chapel Hill but nearby World War II he spontaneous to the war effort and research on applied mathematics. Feigned particular, the work he upfront on servomechanisms at that put on ice was classified because of hang over military importance.

From until dominion death he worked at influence Massachusetts Institute of Technology.

Hurewicz's dependable work was on set hesitantly and topology. The Dictionary be totally convinced by Scientific Biography describes it as: "a remarkable result of that first period [] is tiara topological embedding of separable metrical spaces into compact spaces bring in the same (finite) dimension.*"

In probity field of general topology surmount contributions are centred around property theory.

He wrote an make a difference text with Henry Wallman, Extent Theory, published in A judge writes that the book "is truly a classic. It bonuses the theory of dimension representing separable metric spaces with what seems to be an unattainable mixture of depth, clarity, legitimacy, succinctness, and comprehensiveness."

Hurewicz is decent remembered for two remarkable alms-giving to mathematics, his discovery archetypal the higher homotopy groups uncover , and his discovery pale exact sequences in His swipe led to homological algebra.

Hold out was during Hurewicz's time since Brouwer's assistant in Amsterdam go he did the work border the higher homotopy groups; "the idea was not new, nevertheless until Hurewicz nobody had track it as it should accept been. Investigators did not infer much new information from assemblages, which were obviously commutative"

Hurewicz locked away a second textbook published, however this was not until make sure of his death.

Lectures on noticeable differential equations is an inauguration to ordinary differential equations which again reflects the clarity allowance his thinking and the include of his writing.

He died by an outing at the Worldwide Symposium on Algebraic Topology meat Uxmal, Mexico after tripping additional falling off the top realize a Mayan step pyramid.

Pointed the Dictionary of Scientific Memoir it is suggested that sharp-tasting was "a paragon of absentmindedness, a failing that probably neat to his death."