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Johannes De Groot
Johannes de Groot (May 7, 1914 – September 11, 1972) was a Dutch mathematician, the leading Dutch 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, on May 7, 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 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 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 level, but in 1946 he was appointed to the Mathematisch Centrum in Amsterdam, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Garrelsweer
Garrelsweer is a village in the Dutch province of 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 dike along the Delf river. In 1057, it was given market, 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 of Arenberg. The battle was undecided. Two days later, the fighting continued at Heiligerlee which became the first Dutch military victory, and therefore, the official beginning of the Eighty Years' War. The Dutch Reformed church was built in 1912 as a replacement of the 13th century church. The church was sold in 2013, and is no ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Point Set Topology
In mathematics, general topology is the branch of topology that deals with the basic Set theory, 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. Another name for general topology is point-set 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 call ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Topological Group
In mathematics, topological groups are logically 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 have been 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 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 analysis. Formal definition ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Netherlands Academy Of Arts And Sciences
The Royal Netherlands Academy of Arts and Sciences ( nl, Koninklijke Nederlandse Akademie van Wetenschappen, abbreviated: 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 internationa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Academic Genealogy
An academic, 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 a mentor/ad ... [...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 can be thought of as a circle (which is compact as a closed and bounded subset of the Euclidean plane). Every sequence that ran off to infinity in the real line will then converge to ∞ in this compactification. Intuitively, the process can be pictured as follo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rotterdam
Rotterdam ( , , , lit. ''The Dam on the River Rotte'') is the second largest city and municipality in the Netherlands. It is in the province of South Holland, part of the North Sea mouth of the Rhine–Meuse–Scheldt delta, via the ''"New Meuse"'' inland shipping channel, dug to connect to the Meuse first, but now to the Rhine instead. Rotterdam's history goes back to 1270, when a dam was constructed in the Rotte. In 1340, Rotterdam was granted city rights by William IV, Count of Holland. The Rotterdam–The Hague metropolitan area, with a population of approximately 2.7 million, is the 10th-largest in the European Union and the most populous in the country. A major logistic and economic centre, Rotterdam is Europe's largest seaport. In 2020, it had a population of 651,446 and is home to over 180 nationalities. Rotterdam is known for its university, riverside setting, lively cultural life, maritime heritage and modern architecture. The near-complete destruction ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of South Florida
The University of South Florida (USF) is a public research university with its main campus located in Tampa, Florida, and other campuses in St. Petersburg and 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 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 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, with 49,766 students from over 145 countries, all 50 states, all five U.S. Territories, and the District of Columbia as of the 2022–2023 academic year. In 2022, the university reported an annual budget of $2.31 billion and an annual economic impact of ove ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Florida
The University of Florida (Florida or UF) is a public land-grant research university in Gainesville, Florida. It is a senior member of the State University System of Florida, 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". For 2022, '' U.S. News & World Report'' ranked Florida as the fifth (tied) best public university and 28th (tied) best university in the United States. The University of Florida is the only member of the Association of American Universities in Florida and is classified among "R1: Doctoral Universities – Very high research activity". The university is accredited by the Southern Association of Colleges and Schools (SACS). It is the third largest Florida university by student population,Nathan Crabbe, UF is no longer la ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Washington University In St
Washington commonly refers to: * Washington (state), 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. * George Washington George Washington (February 22, 1732, 1799) was an American military officer, statesman, and Founding Father who served as the first president of the United States from 1789 to 1797. Appointed by the Continental Congress as commander of th ... (1732–1799), the first president of the United States Washington may also refer to: Places England * Washington, Tyne and Wear, a town in the City of Sunderland metropolitan borough ** Washington Old Hall, ancestral home of the family of George Washington * Washington, West Sussex, a village and civil parish Greenland * Cape Washington, Greenland * Washington Land Philippines *New Washington, Aklan, a municipality *Washington, a barangay in Catar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Purdue University
Purdue University is a public land-grant research university in West Lafayette, Indiana, and the flagship campus of the Purdue University system. The university was founded in 1869 after Lafayette businessman John Purdue donated land and money to establish a college of science, technology, and agriculture in his name. The first classes were held on September 16, 1874, with six instructors and 39 students. It has been ranked as among the best public universities in the United States by major institutional rankings, and is renowned for its engineering program. The main campus in West Lafayette offers more than 200 majors for undergraduates, over 70 masters and doctoral programs, and professional degrees in pharmacy, veterinary medicine, and doctor of nursing practice. In addition, Purdue has 18 intercollegiate sports teams and more than 900 student organizations. Purdue is the founding member of the Big Ten Conference and enrolls the largest student body of any individual univer ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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