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Mojżesz David Kirszbraun
Mojżesz David Kirszbraun (1903–1942)Mojżesz Kirszbraun', Holocaust Survivors and Victims Database. was a Polish mathematician, mostly known for the Kirszbraun theorem on extensions of Lipschitz maps. This theorem appears in his master's thesis, defended in Warsaw in 1930. Kirszbraun finished school in 1922. Together with his classmate Adolf Lindenbaum, he continued his studies in Warsaw University. Later, he worked as an actuary in an insurance company. He died in a ghetto in 1942. Publications * References An entryabout Kirszbraun written by Edward Marczewski, Polski słownik biograficzny ''Polski Słownik Biograficzny'' (''PSB''; Polish Biographical Dictionary) is a Polish-language biographical dictionary, comprising an alphabetically arranged compilation of authoritative biographies of some 25,000 notable Poles and of foreigners ..., Tom XII, p. 486 20th-century Polish mathematicians Polish Jews who died in the Holocaust 1942 deaths Year of birth uncert ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kirszbraun Theorem
In mathematics, specifically real analysis and functional analysis, the Kirszbraun theorem states that if is a subset of some Hilbert space , and is another Hilbert space, and : f: U \rightarrow H_2 is a Lipschitz-continuous map, then there is a Lipschitz-continuous map :F: H_1 \rightarrow H_2 that extends and has the same Lipschitz constant as . Note that this result in particular applies to Euclidean spaces and , and it was in this form that Kirszbraun originally formulated and proved the theorem. The version for Hilbert spaces can for example be found in (Schwartz 1969, p. 21). If is a separable space (in particular, if it is a Euclidean space) the result is true in Zermelo–Fraenkel set theory; for the fully general case, it appears to need some form of the axiom of choice; the Boolean prime ideal theorem is known to be sufficient. The proof of the theorem uses geometric features of Hilbert spaces; the corresponding statement for Banach spaces is not true i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Adolf Lindenbaum
Adolf Lindenbaum (12 June 1904 – August 1941) was a Polish-Jewish logician and mathematician best known for Lindenbaum's lemma and Lindenbaum–Tarski algebras. He was born and brought up in Warsaw. He earned a Ph.D. in 1928 under Wacław Sierpiński and habilitated at the University of Warsaw in 1934. He published works on mathematical logic, set theory, cardinal and ordinal arithmetic, the axiom of choice, the continuum hypothesis, theory of functions, measure theory, point-set topology, geometry and real analysis. He served as an assistant professor at the University of Warsaw from 1935 until the outbreak of war in September 1939. He was Alfred Tarski's closest collaborator of the inter-war period. Around the end of October or beginning of November 1935 he married Janina Hosiasson, a fellow logician of the Lwow–Warsaw school. He and his wife were adherents of logical empiricism, participated in and contributed to the international unity of science movement, and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Warsaw University
The University of Warsaw ( pl, Uniwersytet Warszawski, la, Universitas Varsoviensis) is a public university in Warsaw, Poland. Established in 1816, it is the largest institution of higher learning in the country offering 37 different fields of study as well as 100 specializations in humanities, technical, and the natural sciences. The University of Warsaw consists of 126 buildings and educational complexes with over 18 faculties: biology, chemistry, journalism and political science, philosophy and sociology, physics, geography and regional studies, geology, history, applied linguistics and philology, Polish language, pedagogy, economics, law and public administration, psychology, applied social sciences, management and mathematics, computer science and mechanics. The University of Warsaw is one of the top Polish universities. It was ranked by '' Perspektywy'' magazine as best Polish university in 2010, 2011, 2014, and 2016. International rankings such as ARWU and University We ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Edward Marczewski
Edward Marczewski (15 November 1907 – 17 October 1976) was a Polish mathematician. He was born Szpilrajn but changed his name while hiding from Nazi persecution. Marczewski was a member of the Warsaw School of Mathematics. His life and work after the Second World War were connected with Wrocław, where he was among the creators of the Polish scientific centre. Marczewski's main fields of interest were measure theory, descriptive set theory, general topology, probability theory and universal algebra. He also published papers on real and complex analysis, applied mathematics and mathematical logic. Marczewski proved that the topological dimension, for arbitrary metrisable separable space ''X'', coincides with the Hausdorff dimension under one of the metrics in ''X'' which induce the given topology of ''X'' (while otherwise the Hausdorff dimension is always greater or equal to the topological dimension). This is a fundamental theorem of fractal theory. (Certain contributions to th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polski Słownik Biograficzny
''Polski Słownik Biograficzny'' (''PSB''; Polish Biographical Dictionary) is a Polish-language biographical dictionary, comprising an alphabetically arranged compilation of authoritative biographies of some 25,000 notable Poles and of foreigners who have been active in Poland – famous as well as less-well-known persons – from Popiel, Piast Kołodziej, and Mieszko I, at the dawn of Polish history, to persons who died in the year 2000. The ''Dictionary'', published incrementally since 1935, is a work in progress. It currently covers entries from A to S and its completion is expected about 2030. The PSB is, by its own assessment, "at present... one of the world's leading biographical publications." Outside Poland, it is available at the British Library, the Library of Congress, the Vatican Library, the Hoover Institution on War, Revolution and Peace, the University of California at Berkeley, Stanford University Stanford University, officially Leland Stanford Junior Univ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polish Jews Who Died In The Holocaust
Polish may refer to: * Anything from or related to Poland, a country in Europe * Polish language * Poles, people from Poland or of Polish descent * Polish chicken *Polish brothers (Mark Polish and Michael Polish, born 1970), American twin screenwriters Polish may refer to: * Polishing, the process of creating a smooth and shiny surface by rubbing or chemical action ** French polishing, polishing wood to a high gloss finish * Nail polish * Shoe polish * Polish (screenwriting), improving a script in smaller ways than in a rewrite See also * * * Polonaise (other) {{Disambiguation, surname Language and nationality disambiguation pages ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1942 Deaths
Year 194 ( CXCIV) was a common year starting on Tuesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Septimius and Septimius (or, less frequently, year 947 ''Ab urbe condita''). The denomination 194 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * Emperor Septimius Severus and Decimus Clodius Septimius Albinus Caesar become Roman Consuls. * Battle of Issus: Septimius Severus marches with his army (12 legions) to Cilicia, and defeats Pescennius Niger, Roman governor of Syria. Pescennius retreats to Antioch, and is executed by Severus' troops. * Septimius Severus besieges Byzantium (194–196); the city walls suffer extensive damage. Asia * Battle of Yan Province: Warlords Cao Cao and Lü Bu fight for control over Yan Province; the battle lasts for over 100 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Year Of Birth Uncertain
A year or annus is the orbital period of a planetary body, for example, the Earth, moving in Earth's orbit, its orbit around the Sun. Due to the Earth's axial tilt, the course of a year sees the passing of the seasons, marked by change in weather, the hours of daylight, and, consequently, vegetation and soil fertility. In temperate and subpolar climate, subpolar regions around the planet, four seasons are generally recognized: spring (season), spring, summer, autumn and winter. In tropics, tropical and subtropics, subtropical regions, several geographical sectors do not present defined seasons; but in the tropics#Seasons and climate, seasonal tropics, the annual wet season, wet and dry seasons are recognized and tracked. A calendar year is an approximation of the number of days of the Earth's orbital period, as counted in a given calendar. The Gregorian calendar, or modern calendar, presents its calendar year to be either a common year of 365 days or a leap year of 366 days, a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
