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Jacques Feldbau
Jacques Feldbau was a French mathematician, born on 22 October 1914 in Strasbourg, of an Alsatian Jewish traditionalist family. He died on 22 April 1945 at the ''Ganacker'' Camp, annex of the concentration camp of Flossenbürg in Germany. As a mathematician he worked on differential geometry and topology. He was the first student of Charles Ehresmann. He is known as one of the founders of the theory of fiber bundles. He is the one who first proved that a fiber bundle over a simplex is trivializable and who used this to classify bundles over spheres. In a paper, written together with Ehresmann, he introduced the notion of an associated bundle and proved results known today as the exact homotopy sequence of a fibration. Biography Childhood and education Described by Michèle Audin as "a handsome young man with a very friendly and likeable personality" he demonstrated an early interest in mathematics, whilst also being enthusiastic about music and sport. He studied at the Lyc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Straßburg
Strasbourg ( , ; ; ) is the prefecture and largest city of the Grand Est region of eastern France, in the historic region of Alsace. It is the prefecture of the Bas-Rhin department and the official seat of the European Parliament. The city has about three hundred thousand inhabitants, and together Greater Strasbourg and the arrondissement of Strasbourg have over five hundred thousand. Strasbourg's metropolitan area had a population of 860,744 in 2020, making it the eighth-largest metro area in France and home to 14% of the Grand Est region's inhabitants. The transnational Eurodistrict Strasbourg-Ortenau had a population of roughly 1,000,000 in 2022. Strasbourg is one of the '' de facto'' four main capitals of the European Union (alongside Brussels, Luxembourg and Frankfurt), as it is the seat of several European institutions, such as the European Parliament, the Eurocorps and the European Ombudsman of the European Union. An organization separate from the European Union, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sequence
In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called ''elements'', or ''terms''). The number of elements (possibly infinite) is called the ''length'' of the sequence. Unlike a set, the same elements can appear multiple times at different positions in a sequence, and unlike a set, the order does matter. Formally, a sequence can be defined as a function from natural numbers (the positions of elements in the sequence) to the elements at each position. The notion of a sequence can be generalized to an indexed family, defined as a function from an ''arbitrary'' index set. For example, (M, A, R, Y) is a sequence of letters with the letter "M" first and "Y" last. This sequence differs from (A, R, M, Y). Also, the sequence (1, 1, 2, 3, 5, 8), which contains the number 1 at two different positions, is a valid sequence. Sequences can be '' finite'', as in these examples, or '' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebraic Topology
Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces. The basic goal is to find algebraic invariant (mathematics), invariants that classification theorem, classify topological spaces up to homeomorphism, though usually most classify up to Homotopy#Homotopy equivalence and null-homotopy, homotopy equivalence. Although algebraic topology primarily uses algebra to study topological problems, using topology to solve algebraic problems is sometimes also possible. Algebraic topology, for example, allows for a convenient proof that any subgroup of a free group is again a free group. Main branches Below are some of the main areas studied in algebraic topology: Homotopy groups In mathematics, homotopy groups are used in algebraic topology to classify topological spaces. The first and simplest homotopy group is the fundamental group, which records information about loops in a space. Intuitively, homotopy groups record information ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bavaria
Bavaria, officially the Free State of Bavaria, is a States of Germany, state in the southeast of Germany. With an area of , it is the list of German states by area, largest German state by land area, comprising approximately 1/5 of the total land area of Germany, and with over 13.08 million inhabitants, it is the list of German states by population, second most populous German state, behind only North Rhine-Westphalia; however, due to its large land area, its population density is list of German states by population density, below the German average. Major cities include Munich (its capital and List of cities in Bavaria by population, largest city, which is also the list of cities in Germany by population, third largest city in Germany), Nuremberg, and Augsburg. The history of Bavaria includes its earliest settlement by Iron Age Celts, Celtic tribes, followed by the conquests of the Roman Empire in the 1st century BC, when the territory was incorporated into the provinces of Ra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fatigue (medical)
Fatigue is a state of tiredness (which is not sleepiness), exhaustion or loss of energy. It is a symptom of any of various diseases; it is not a disease in itself. Fatigue (in the medical sense) is sometimes associated with medical conditions including autoimmune disease, organ failure, chronic pain conditions, mood disorders, heart disease, infectious diseases, and post-infectious-disease states. However, fatigue is complex and in up to a third of primary care cases no medical or psychiatric diagnosis is found. Fatigue (in the general usage sense of normal tiredness) often follows prolonged physical or mental activity. Physical fatigue results from muscle fatigue brought about by intense physical activity. Mental fatigue results from prolonged periods of cognitive activity which impairs cognitive ability, can manifest as sleepiness, lethargy, or directed attention fatigue, and can also impair physical performance. Definition Fatigue in a medical context is used to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Auschwitz
Auschwitz, or Oświęcim, was a complex of over 40 concentration and extermination camps operated by Nazi Germany in occupied Poland (in a portion annexed into Germany in 1939) during World War II and the Holocaust. It consisted of Auschwitz I, the main camp (''Stammlager'') in Oświęcim; Auschwitz II-Birkenau, a concentration and extermination camp with gas chambers, Auschwitz III-Monowitz, a labour camp for the chemical conglomerate IG Farben, and dozens of subcamps. The camps became a major site of the Nazis' Final Solution to the Jewish question. After Germany initiated World War II by invading Poland in September 1939, the '' Schutzstaffel'' (SS) converted Auschwitz I, an army barracks, into a prisoner-of-war camp. The initial transport of political detainees to Auschwitz consisted almost solely of Poles (for whom the camp was initially established). For the first two years, the majority of inmates were Polish. In May 1940, German criminals brought to the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Drancy Internment Camp
Drancy internment camp () was an assembly and detention camp for confining Jews who were later deported to the extermination camps during the German military administration in occupied France during World War II, German occupation of France during World War II. Originally conceived and built as a modern architecture, modernist urban community under the name ''La Cité de la Muette'', it was located in Drancy, a northeastern suburb of Paris, France. Between 22 June 1942 and 31 July 1944, during its use as an internment camp, 67,400 French, Polish, and German Jews were deported from the camp in 64 Holocaust trains, rail operations, The 61,000 deported to Auschwitz and remaining number to Sobibor extermination camp, Sobibor were murdered. which included 6,000 children. Only 1,542 prisoners remained alive at the camp when the German authorities in Drancy fled as Allies of World War II, Allied forces advanced and the Swedish Consul-General Raoul Nordling took control of the camp on 1 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
PhD Thesis
A thesis (: theses), or dissertation (abbreviated diss.), is a document submitted in support of candidature for an academic degree or professional qualification presenting the author's research and findings.International Standard ISO 7144: Documentation�Presentation of theses and similar documents International Organization for Standardization, Geneva, 1986. In some contexts, the word ''thesis'' or a cognate is used for part of a bachelor's or master's course, while ''dissertation'' is normally applied to a doctorate. This is the typical arrangement in American English. In other contexts, such as within most institutions of the United Kingdom, South Africa, the Commonwealth Countries, and Brazil, the reverse is true. The term graduate thesis is sometimes used to refer to both master's theses and doctoral dissertations. The required complexity or quality of research of a thesis or dissertation can vary by country, university, or program, and the required minimum study period m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gestapo
The (, ), Syllabic abbreviation, abbreviated Gestapo (), was the official secret police of Nazi Germany and in German-occupied Europe. The force was created by Hermann Göring in 1933 by combining the various political police agencies of Free State of Prussia, Prussia into one organisation. On 20 April 1934, oversight of the Gestapo passed to the head of the ''Schutzstaffel'' (SS), Heinrich Himmler, who was also appointed Chief of German Police by Hitler in 1936. Instead of being exclusively a Prussian state agency, the Gestapo became a national one as a sub-office of the (SiPo; Security Police). From 27 September 1939, it was administered by the Reich Security Main Office (RSHA). It became known as (Dept) 4 of the RSHA and was considered a sister organisation to the (SD; Security Service). The Gestapo committed widespread atrocities during its existence. The power of the Gestapo was used to focus upon political opponents, ideological dissenters (clergy and religious org ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
André Weil
André Weil (; ; 6 May 1906 – 6 August 1998) was a French mathematician, known for his foundational work in number theory and algebraic geometry. He was one of the most influential mathematicians of the twentieth century. His influence is due both to his original contributions to a remarkably broad spectrum of mathematical theories, and to the mark he left on mathematical practice and style, through some of his own works as well as through the Bourbaki group, of which he was one of the principal founders. Life André Weil was born in Paris to agnostic Alsatian Jewish parents who fled the annexation of Alsace-Lorraine by the German Empire after the Franco-Prussian War in 1870–71. Simone Weil, who would later become a famous philosopher, was Weil's younger sister and only sibling. He studied in Paris, Rome and Göttingen and received his doctorate in 1928. While in Germany, Weil befriended Carl Ludwig Siegel. Starting in 1930, he spent two academic years at Aligarh Mu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vichy Regime
Vichy France (; 10 July 1940 – 9 August 1944), officially the French State ('), was a French rump state headed by Marshal Philippe Pétain during World War II, established as a result of the French capitulation after the defeat against Germany. It was named after its seat of government, the city of Vichy. Officially independent, but with half of its territory occupied under the harsh terms of the 1940 armistice with Nazi Germany, it adopted a policy of collaboration. Though Paris was nominally its capital, the government established itself in Vichy in the unoccupied "free zone" (). The occupation of France by Germany at first affected only the northern and western portions of the country. In November 1942, the Allies occupied French North Africa, and in response the Germans and Italians occupied the entirety of Metropolitan France, ending any pretence of independence by the Vichy government. On 10 May 1940, France was invaded by Nazi Germany. Paul Reynaud res ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Strasbourg
The University of Strasbourg (, Unistra) is a public research university located in Strasbourg, France, with over 52,000 students and 3,300 researchers. Founded in the 16th century by Johannes Sturm, it was a center of intellectual life during the Age of Enlightenment. The old university was split into three separate entities in the 1970s before merging back together in 2009. Today, the University of Strasbourg comprises 35 academic faculties, schools, and institutes, as well as 71 research laboratories spread across six campuses, including the historic site in the Neustadt. Throughout its existence, Unistra alumni, faculty, or researchers have included 18 Nobel laureates, two Fields Medalists and a wide range of notable individuals in their respective fields. Among them are Goethe, statesman Robert Schuman, historian Marc Bloch and several chemists such as Louis Pasteur. History The university emerged from the Jean Sturm Gymnasium, a gymnasium of Lutheran and humanist ins ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
