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Johannes De Groot
Johannes de Groot (7 May 1914 – 11 September 1972) was a Dutch mathematician, the leading Dutch topology, topologist for more than two decades following World War II.. Biography De Groot was born at Garrelsweer, a village in the municipality of Loppersum, Groningen (province), Groningen, on 7 May 1914.. He did both his undergraduate and graduate studies at the Rijksuniversiteit Groningen, where he received his Ph.D. in 1942 under the supervision of Gerrit Schaake. He studied mathematics, physics, and philosophy as an undergraduate, and began his graduate studies concentrating in abstract algebra, algebra and algebraic geometry, but switched to point set topology, the subject of his thesis, despite the general disinterest in the subject in the Netherlands at the time after Luitzen Egbertus Jan Brouwer, Brouwer, the Dutch giant in that field, had left it in favor of intuitionism. For several years after leaving the university, De Groot taught mathematics at the secondary school l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Garrelsweer
Garrelsweer () is a village in the Netherlands, Dutch province of Groningen (province), Groningen. It is a part of the municipality of Eemsdelta. History The village was first mentioned in 1057 as Gerleuiswert, and means "settled height of Gerlef (person)". Garrelsweer developed on a Dyke (embankment), dike along the Delf river. In 1057, it was given market, Mint (facility), minting and toll rights by Henry IV, Holy Roman Emperor. During the Middle Ages, the village became overshadowed by neighbouring Loppersum. In 1424, the Delf was replaced by the , a canal from Groningen to Delfzijl. In 1568, during the Dutch Revolt, a battle was fought near Garrelsweer between Count Louis of Nassau and the Spanish Prince Charles de Ligne, 2nd Prince of Arenberg, Charles de Ligne of Arenberg. The battle was undecided. Two days later, the fighting continued at Battle of Heiligerlee (1568), Heiligerlee which became the first Dutch military victory, and therefore, the official beginning of the Ei ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Point Set Topology
In mathematics, general topology (or point set topology) is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology. It is the foundation of most other branches of topology, including differential topology, geometric topology, and algebraic topology. The fundamental concepts in point-set topology are ''continuity'', ''compactness'', and ''connectedness'': * Continuous functions, intuitively, take nearby points to nearby points. * Compact sets are those that can be covered by finitely many sets of arbitrarily small size. * Connected sets are sets that cannot be divided into two pieces that are far apart. The terms 'nearby', 'arbitrarily small', and 'far apart' can all be made precise by using the concept of open sets. If we change the definition of 'open set', we change what continuous functions, compact sets, and connected sets are. Each choice of definition for 'open set' is called a ''topology''. A set with a topology i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Topological Group
In mathematics, topological groups are the combination of groups and topological spaces, i.e. they are groups and topological spaces at the same time, such that the continuity condition for the group operations connects these two structures together and consequently they are not independent from each other. Topological groups were studied extensively in the period of 1925 to 1940. Haar and Weil (respectively in 1933 and 1940) showed that the integrals and Fourier series are special cases of a construct that can be defined on a very wide class of topological groups. Topological groups, along with continuous group actions, are used to study continuous symmetries, which have many applications, for example, in physics. In functional analysis, every topological vector space is an additive topological group with the additional property that scalar multiplication is continuous; consequently, many results from the theory of topological groups can be applied to functional anal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Netherlands Academy Of Arts And Sciences
The Royal Netherlands Academy of Arts and Sciences (, KNAW) is an organization dedicated to the advancement of science and literature in the Netherlands. The academy is housed in the Trippenhuis in Amsterdam. In addition to various advisory and administrative functions it operates a number of research institutes and awards many prizes, including the Lorentz Medal in theoretical physics, the Dr Hendrik Muller Prize for Behavioural and Social Science and the Heineken Prizes. Main functions The academy advises the Dutch government on scientific matters. While its advice often pertains to genuine scientific concerns, it also counsels the government on such topics as policy on careers for researchers or the Netherlands' contribution to major international projects. The academy offers solicited and unsolicited advice to parliament, ministries, universities and research institutes, funding agencies and international organizations. * Advising the government on matters related to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Academic Genealogy
An academic genealogy (or scientific genealogy) organizes a family tree of scientists and scholars according to mentoring relationships, often in the form of dissertation supervision relationships, and not according to genetic relationships as in conventional genealogy. Since the term ''academic genealogy'' has now developed this specific meaning, its additional use to describe a more academic approach to conventional genealogy would be ambiguous, so the description scholarly genealogy is now generally used in the latter context. Overview The academic lineage or academic ancestry of someone is a chain of professors who have served as academic mentors or thesis advisors of each other, ending with the person in question. Many genealogical terms are often recast in terms of academic lineages, so one may speak of academic descendants, children, siblings, etc. One method of developing an academic genealogy is to organize individuals by prioritizing their degree of relationship to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Compactification (mathematics)
In mathematics, in general topology, compactification is the process or result of making a topological space into a compact space. A compact space is a space in which every open cover of the space contains a finite subcover. The methods of compactification are various, but each is a way of controlling points from "going off to infinity" by in some way adding "points at infinity" or preventing such an "escape". An example Consider the real line with its ordinary topology. This space is not compact; in a sense, points can go off to infinity to the left or to the right. It is possible to turn the real line into a compact space by adding a single "point at infinity" which we will denote by ∞. The resulting compactification is homeomorphism, homeomorphic to a circle in the plane (which, as a closed and bounded subset of the Euclidean plane, is compact). Every sequence that ran off to infinity in the real line will then converge to ∞ in this compactification. The direction in whic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rotterdam
Rotterdam ( , ; ; ) is the second-largest List of cities in the Netherlands by province, city in the Netherlands after the national capital of Amsterdam. It is in the Provinces of the Netherlands, province of South Holland, part of the North Sea mouth of the Rhine–Meuse–Scheldt delta, via the Nieuwe Maas, New Meuse inland shipping channel, dug to connect to the Meuse at first and now to the Rhine. Rotterdam's history goes back to 1270, when a dam was constructed in the Rotte (river), Rotte. In 1340, Rotterdam was granted city rights by William II, Count of Hainaut, William IV, Count of Holland. The Rotterdam–The Hague metropolitan area, with a population of approximately 2.7 million, is the List of urban areas in the European Union, 10th-largest in the European Union and the most populous in the country. A major logistic and economic centre, Rotterdam is Port of Rotterdam, Europe's largest seaport. In 2022, Rotterdam had a population of 655,468 and is home to over 1 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of South Florida
The University of South Florida (USF) is a Public university, public research university with its main campus located in Tampa, Florida, Tampa, Florida, United States, and other campuses in St. Petersburg, Florida, St. Petersburg and Sarasota, Florida, Sarasota. It is one of 12 members of the State University System of Florida. USF is home to 14 colleges, offering more than 240 undergraduate, graduate, specialist, and doctoral-level degree programs. USF is Carnegie Classification of Institutions of Higher Education, classified among "R1: Doctoral Universities – Very high research activity" and is accredited by the Commission on Colleges of the Southern Association of Colleges and Schools. USF is a member of the Association of American Universities, Association of American Universities (AAU) and is designated by the Florida Board of Governors as one of three Preeminent State Research Universities. Founded in 1956, USF is the fourth largest university in Florida by enrollment, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Florida
The University of Florida (Florida or UF) is a public university, public land-grant university, land-grant research university in Gainesville, Florida, United States. It is a senior member of the State University System of Florida and a preeminent university in the state. The university traces its origins to 1853 and has operated continuously on its Gainesville campus since September 1906. After the Florida state legislature's creation of performance standards in 2013, the Florida Board of Governors designated the University of Florida as a "preeminent university". The University of Florida is one of three members of the Association of American Universities in Florida and is Carnegie Classification of Institutions of Higher Education, classified among "R1: Doctoral Universities – Very high research spending and doctorate production". The university is Higher education accreditation in the United States, accredited by the Southern Association of Colleges and Schools (SACS). ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Washington University In St
Washington most commonly refers to: * George Washington (1732–1799), the first president of the United States * Washington (state), a state in the Pacific Northwest of the United States * Washington, D.C., the capital of the United States ** A metonym for the federal government of the United States ** Washington metropolitan area, the metropolitan area centered on Washington, D.C. Washington may also refer to: Places England * Washington Old Hall, ancestral home of the family of George Washington * Washington, Tyne and Wear, a town in the City of Sunderland metropolitan borough * Washington, West Sussex, a village and civil parish Greenland * Cape Washington, Greenland * Washington Land Philippines *New Washington, Aklan, a municipality *Washington, a barangay in Catarman, Northern Samar *Washington, a barangay in Escalante, Negros Occidental *Washington, a barangay in San Jacinto, Masbate *Washington, a barangay in Surigao City United States * Fort Washington (disambiguati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Purdue University
Purdue University is a Public university#United States, public Land-grant university, land-grant research university in West Lafayette, Indiana, United States, and the flagship campus of the Purdue University system. The university was founded in 1869 after Lafayette, Indiana, Lafayette businessman John Purdue donated land and money to establish a college of science, technology, and agriculture; the first classes were held on September 16, 1874. Purdue University is a member of the Association of American Universities and is Carnegie Classification of Institutions of Higher Education, classified among "R1: Doctoral Universities – Very high research activity". Purdue enrolls the largest student body of any individual university campus in Indiana, as well as the ninth-largest foreign student population of any university in the United States. The university is home to the oldest computer science Purdue University Department of Computer Science, program in the United States. Pur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
