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William Threlfall
William Richard Maximilian Hugo Threlfall (25 June 1888, in Dresden – 4 April 1949, in Oberwolfach) was a British-born Germany, German mathematician who worked on algebraic topology. He was a coauthor of the standard textbook Lehrbuch der Topologie. In 1933 he signed the ''Vow of allegiance of the Professors of the German Universities and High-Schools to Adolf Hitler and the National Socialistic State''. Publications * *Seifert, Threlfall: ''Lehrbuch der Topologie'', Teubner 1934 *Seifert, Threlfall: ''Variationsrechnung im Großen'', Teubner 1938 See also *Möbius–Kantor graph *Schwarz triangle tessellation References * Gabriele DörflingerWilliam R. M. H. Threlfall * {{DEFAULTSORT:Threlfall, William 1888 births 1949 deaths 20th-century German mathematicians Topologists ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
William Threlfall
William Richard Maximilian Hugo Threlfall (25 June 1888, in Dresden – 4 April 1949, in Oberwolfach) was a British-born Germany, German mathematician who worked on algebraic topology. He was a coauthor of the standard textbook Lehrbuch der Topologie. In 1933 he signed the ''Vow of allegiance of the Professors of the German Universities and High-Schools to Adolf Hitler and the National Socialistic State''. Publications * *Seifert, Threlfall: ''Lehrbuch der Topologie'', Teubner 1934 *Seifert, Threlfall: ''Variationsrechnung im Großen'', Teubner 1938 See also *Möbius–Kantor graph *Schwarz triangle tessellation References * Gabriele DörflingerWilliam R. M. H. Threlfall * {{DEFAULTSORT:Threlfall, William 1888 births 1949 deaths 20th-century German mathematicians Topologists ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dresden
Dresden (, ; Upper Saxon: ''Dräsdn''; wen, label=Upper Sorbian, Drježdźany) is the capital city of the German state of Saxony and its second most populous city, after Leipzig. It is the 12th most populous city of Germany, the fourth largest by area (after Berlin, Hamburg and Cologne), and the third most populous city in the area of former East Germany, after Berlin and Leipzig. Dresden's urban area comprises the towns of Freital, Pirna, Radebeul, Meissen, Coswig, Radeberg and Heidenau and has around 790,000 inhabitants. The Dresden metropolitan area has approximately 1.34 million inhabitants. Dresden is the second largest city on the River Elbe after Hamburg. Most of the city's population lives in the Elbe Valley, but a large, albeit very sparsely populated area of the city east of the Elbe lies in the West Lusatian Hill Country and Uplands (the westernmost part of the Sudetes) and thus in Lusatia. Many boroughs west of the Elbe lie in the foreland of the Ore Mounta ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Oberwolfach
Oberwolfach ( gsw, label= Low Alemannic, Obberwolfä) is a town in the district of Ortenau in Baden-Württemberg, Germany. It is the site of the Oberwolfach Research Institute for Mathematics, or Mathematisches Forschungsinstitut Oberwolfach. Geography Geographical situation The town of Oberwolfach lies between 270 and 948 meters above sea level in the central Schwarzwald (Black Forest) on the river Wolf, a tributary of the Kinzig. Neighbouring localities The district is neighboured by Bad Peterstal-Griesbach to the north, Bad Rippoldsau-Schapbach in Landkreis Freudenstadt to the east, by the towns of Wolfach and Hausach to the south, and by Oberharmersbach Oberharmersbach ( gsw, label= Low Alemannic, Haamerschbach) is a town in the district of Ortenau in Baden-Württemberg in Germany Germany,, officially the Federal Republic of Germany, is a country in Central Europe. It is the second ... to the west. References External links Gemeinde Oberwolfach: ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Germany
Germany,, officially the Federal Republic of Germany, is a country in Central Europe. It is the second most populous country in Europe after Russia, and the most populous member state of the European Union. Germany is situated between the Baltic and North seas to the north, and the Alps to the south; it covers an area of , with a population of almost 84 million within its 16 constituent states. Germany borders Denmark to the north, Poland and the Czech Republic to the east, Austria and Switzerland to the south, and France, Luxembourg, Belgium, and the Netherlands to the west. The nation's capital and most populous city is Berlin and its financial centre is Frankfurt; the largest urban area is the Ruhr. Various Germanic tribes have inhabited the northern parts of modern Germany since classical antiquity. A region named Germania was documented before AD 100. In 962, the Kingdom of Germany formed the bulk of the Holy Roman Empire. During the 16th ce ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypati ... [...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 of algebraic topology 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 gro ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lehrbuch Der Topologie
In mathematics, ''Lehrbuch der Topologie'' (German for "textbook of topology") is a book by Herbert Seifert and William Threlfall, first published in 1934 and published in an English translation in 1980. It was one of the earliest textbooks on algebraic topology, and was the standard reference on this topic for many years. Albert W. Tucker wrote a review. Notes References * * Reprinted by Chelsea Publishing Company 1947 and AMS 2004. *{{Citation , last1=Seifert , first1=Herbert , last2=Threlfall , first2=William , editor1-last=Goldman , editor1-first=Michael A. , editor2-last=Birman , editor2-first=Joan S. , title=Seifert and Threlfall: a textbook of topology , url=https://books.google.com/books?id=rsb8zjP0XHoC , publisher=Academic Press Inc. [Harcourt Brace Jovanovich Publishers] , location=London , series=Pure and Applied Mathematics , isbn=978-0-12-634850-7 , mr=575168 , year=1980 , volume=89 History of mathematics Mathematics textbooks Algebraic topology ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vow Of Allegiance Of The Professors Of The German Universities And High-Schools To Adolf Hitler And The National Socialistic State
Bekenntnis der Professoren an den Universitäten und Hochschulen zu Adolf Hitler und dem nationalsozialistischen Staat officially translated into English as the Vow of allegiance of the Professors of the German Universities and High-Schools to Adolf Hitler and the National Socialistic State was a document presented on 11 November 1933 at the Albert Hall in Leipzig. It had statements in German, English, Italian, and Spanish by selected German academics and included an appendix of signatories. The purge to remove academics and civil servants with Jewish ancestry began with a law being passed on 7 April 1933. This document was signed by those that remained in support of Nazi Germany. Martin Heidegger in his inaugural lecture in May 1933 as ''Rektor'', and who was later in October appointed "Führer of the university", said (translated): "The much celebrated "academic freedom" is being banished from the German university; for this freedom was not genuine, since it was only negative. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Möbius–Kantor Graph
In the mathematical field of graph theory, the Möbius–Kantor graph is a symmetric bipartite cubic graph with 16 vertices and 24 edges named after August Ferdinand Möbius and Seligmann Kantor. It can be defined as the generalized Petersen graph ''G''(8,3): that is, it is formed by the vertices of an octagon, connected to the vertices of an eight-point star in which each point of the star is connected to the points three steps away from it. Möbius–Kantor configuration asked whether there exists a pair of polygons with ''p'' sides each, having the property that the vertices of one polygon lie on the lines through the edges of the other polygon, and vice versa. If so, the vertices and edges of these polygons would form a projective configuration. For ''p'' = 4 there is no solution in the Euclidean plane, but found pairs of polygons of this type, for a generalization of the problem in which the points and edges belong to the complex projective plane. That is, in Kantor's so ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Schwarz Triangle Tessellation
In geometry, a Schwarz triangle, named after Hermann Schwarz, is a spherical triangle that can be used to tile a sphere (spherical tiling), possibly overlapping, through reflections in its edges. They were classified in . These can be defined more generally as tessellations of the sphere, the Euclidean plane, or the hyperbolic plane. Each Schwarz triangle on a sphere defines a finite group, while on the Euclidean or hyperbolic plane they define an infinite group. A Schwarz triangle is represented by three rational numbers each representing the angle at a vertex. The value means the vertex angle is of the half-circle. "2" means a right triangle. When these are whole numbers, the triangle is called a Möbius triangle, and corresponds to a ''non''-overlapping tiling, and the symmetry group is called a triangle group. In the sphere there are three Möbius triangles plus one one-parameter family; in the plane there are three Möbius triangles, while in hyperbolic space there is a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1888 Births
In Germany, 1888 is known as the Year of the Three Emperors. Currently, it is the year that, when written in Roman numerals, has the most digits (13). The next year that also has 13 digits is the year 2388. The record will be surpassed as late as 2888, which has 14 digits. Events January–March * January 3 – The 91-centimeter telescope at Lick Observatory in California is first used. * January 12 – The Schoolhouse Blizzard hits Dakota Territory, the states of Montana, Minnesota, Nebraska, Kansas, and Texas, leaving 235 dead, many of them children on their way home from school. * January 13 – The National Geographic Society is founded in Washington, D.C. * January 21 – The Amateur Athletic Union is founded by William Buckingham Curtis in the United States. * January 26 – The Lawn Tennis Association is founded in England. * February 6 – Gillis Bildt becomes Prime Minister of Sweden (1888–1889). * February 27 – In West O ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1949 Deaths
Events January * January 1 – A United Nations-sponsored ceasefire brings an end to the Indo-Pakistani War of 1947. The war results in a stalemate and the division of Kashmir, which still continues as of 2022. * January 2 – Luis Muñoz Marín becomes the first democratically elected Governor of Puerto Rico. * January 11 – The first "networked" television broadcasts take place, as KDKA-TV in Pittsburgh, Pennsylvania goes on the air, connecting east coast and mid-west programming in the United States. * January 16 – Şemsettin Günaltay forms the new government of Turkey. It is the 18th government, last single party government of the Republican People's Party. * January 17 – The first VW Type 1 to arrive in the United States, a 1948 model, is brought to New York by Dutch businessman Ben Pon. Unable to interest dealers or importers in the Volkswagen, Pon sells the sample car to pay his travel expenses. Only two 1949 models are sold in America tha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
