John L. Kelley
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John L. Kelley
John L. Kelley (December 6, 1916, in Kansas – November 26, 1999, in Berkeley, California) was an American mathematician at the University of California, Berkeley, who worked in general topology and functional analysis. Kelley's 1955 text, ''General Topology'', which eventually appeared in three editions and several translations, is a classic and widely cited graduate-level introduction to topology. An appendix sets out a new approach to axiomatic set theory, now called Morse–Kelley set theory, that builds on Von Neumann–Bernays–Gödel set theory. He introduced the first definition of a subnet. After earning B.A. (1936) and M.A. (1937) degrees from the University of California, Los Angeles, he went to the University of Virginia, where he obtained his Ph.D. in 1940. Gordon Whyburn, a student of Robert Lee Moore, supervised his thesis, entitled ''A Study of Hyperspaces''. He taught at the University of Notre Dame until the outbreak of World War II. From 1942 to 1945, he did ...
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University Of California, Berkeley
The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California), is a Public university, public Land-grant university, land-grant research university in Berkeley, California, United States. Founded in 1868 and named after the Anglo-Irish philosopher George Berkeley, it is the state's first land-grant university and is the founding campus of the University of California system. Berkeley has an enrollment of more than 45,000 students. The university is organized around fifteen schools of study on the same campus, including the UC Berkeley College of Chemistry, College of Chemistry, the UC Berkeley College of Engineering, College of Engineering, UC Berkeley College of Letters and Science, College of Letters and Science, and the Haas School of Business. It is Carnegie Classification of Institutions of Higher Education, classified among "R1: Doctoral Universities – Very high research activity". Lawrence Berkeley National Laboratory was originally founded as par ...
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Axiomatic Set Theory
Set theory is the branch of mathematical logic that studies Set (mathematics), sets, which can be informally described as collections of objects. Although objects of any kind can be collected into a set, set theory – as a branch of mathematics – is mostly concerned with those that are relevant to mathematics as a whole. The modern study of set theory was initiated by the German mathematicians Richard Dedekind and Georg Cantor in the 1870s. In particular, Georg Cantor is commonly considered the founder of set theory. The non-formalized systems investigated during this early stage go under the name of ''naive set theory''. After the discovery of Paradoxes of set theory, paradoxes within naive set theory (such as Russell's paradox, Cantor's paradox and the Burali-Forti paradox), various axiomatic systems were proposed in the early twentieth century, of which Zermelo–Fraenkel set theory (with or without the axiom of choice) is still the best-known and most studied. Set the ...
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Cambridge University
The University of Cambridge is a Public university, public collegiate university, collegiate research university in Cambridge, England. Founded in 1209, the University of Cambridge is the List of oldest universities in continuous operation, world's third-oldest university in continuous operation. The university's founding followed the arrival of scholars who left the University of Oxford for Cambridge after a dispute with local townspeople. The two ancient university, ancient English universities, although sometimes described as rivals, share many common features and are often jointly referred to as Oxbridge. In 1231, 22 years after its founding, the university was recognised with a royal charter, granted by Henry III of England, King Henry III. The University of Cambridge includes colleges of the University of Cambridge, 31 semi-autonomous constituent colleges and List of institutions of the University of Cambridge#Schools, Faculties, and Departments, over 150 academic departm ...
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University Of Chicago
The University of Chicago (UChicago, Chicago, or UChi) is a Private university, private research university in Chicago, Illinois, United States. Its main campus is in the Hyde Park, Chicago, Hyde Park neighborhood on Chicago's South Side, Chicago, South Side, near the shore of Lake Michigan about from Chicago Loop, the Loop. The university is composed of an College of the University of Chicago, undergraduate college and four graduate divisions: Biological Science, Arts & Humanities, Physical Science, and Social Science, which include various organized departments and institutes. In addition, the university operates eight professional schools in the fields of University of Chicago Booth School of Business, business, Crown Family School of Social Work, Policy, and Practice, social work, University of Chicago Divinity School, divinity, Graham School of Continuing Liberal and Professional Studies, continuing studies, Harris School of Public Policy, public policy, University of Chi ...
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Charles B
Charles is a masculine given name predominantly found in English and French speaking countries. It is from the French form ''Charles'' of the Proto-Germanic name (in runic alphabet) or ''*karilaz'' (in Latin alphabet), whose meaning was "free man". The Old English descendant of this word was '' Ċearl'' or ''Ċeorl'', as the name of King Cearl of Mercia, that disappeared after the Norman conquest of England. The name was notably borne by Charlemagne (Charles the Great), and was at the time Latinized as ''Karolus'' (as in ''Vita Karoli Magni''), later also as '' Carolus''. Etymology The name's etymology is a Common Germanic noun ''*karilaz'' meaning "free man", which survives in English as churl (James (wikt:Appendix:Proto-Indo-European/ǵerh₂-">ĝer-, where the ĝ is a palatal consonant, meaning "to rub; to be old; grain." An old man has been worn away and is now grey with age. In some Slavic languages, the name ''Drago (given name), Drago'' (and variants: ''Dragom ...
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Anthony Morse
Anthony Perry Morse (21 August 1911 – 6 March 1984) was an American mathematician who worked in both analysis, especially measure theory, and in the foundations of mathematics. He is best known as the co-creator, together with John L. Kelley, of Morse–Kelley set theory. This theory first appeared in print in Kelley's ''General Topology''. Morse's own version appeared later in ''A Theory of Sets''. He is also known for his work on the Morse–Sard theorem and the Federer–Morse theorem. Anthony Morse should not be confused with Marston Morse, known for developing Morse theory. Career He received his PhD in 1937 at Brown University with C. R. Adams as thesis advisor. After two years at the Institute for Advanced Study he joined the mathematics faculty at Berkeley where except for two interruptions he worked for the rest of his life on mathematics. In the first of these, from 1943 until the end of World War II, he worked on ballistics at the Aberdeen Provin ...
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Aberdeen Proving Ground
Aberdeen Proving Ground (APG) is a U.S. Army facility located adjacent to Aberdeen, Harford County, Maryland, United States. More than 7,500 civilians and 5,000 military personnel work at APG. There are 11 major commands among the tenant units, including: * United States Army Communications-Electronics Command (CECOM) * United States Army Combat Capabilities Development Command (CCDC) * United States Army Test and Evaluation Command (ATEC) * Edgewood Arsenal * Adelphi Laboratory Center ** The Army Reserve Information Operations Command ** Unified Cross Domain Services Management Office ** HQ, U.S. Army Contracting Command (Army Contracting Command –APG, Adelphi Contracting Division) ** U.S. Army 93rd Signal Network - Network Enterprise Center ** Logistics Readiness Center ** U.S. Army Cyber Operation Group – 335th Signal Command ** Blossom Point Research Facility History APG is the U.S. Army's oldest active proving ground, established on October 20, 1917, six months aft ...
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Manhattan Project
The Manhattan Project was a research and development program undertaken during World War II to produce the first nuclear weapons. It was led by the United States in collaboration with the United Kingdom and Canada. From 1942 to 1946, the project was directed by Major General Leslie Groves of the United States Army Corps of Engineers, U.S. Army Corps of Engineers. Nuclear physicist J. Robert Oppenheimer was the director of the Los Alamos Laboratory that designed the bombs. The Army program was designated the Manhattan District, as its first headquarters were in Manhattan; the name gradually superseded the official codename, Development of Substitute Materials, for the entire project. The project absorbed its earlier British counterpart, Tube Alloys, and subsumed the program from the American civilian Office of Scientific Research and Development. The Manhattan Project employed nearly 130,000 people at its peak and cost nearly US$2 billion (equivalent to about $ b ...
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World War II
World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the world's countries participated, with many nations mobilising all resources in pursuit of total war. Tanks in World War II, Tanks and Air warfare of World War II, aircraft played major roles, enabling the strategic bombing of cities and delivery of the Atomic bombings of Hiroshima and Nagasaki, first and only nuclear weapons ever used in war. World War II is the List of wars by death toll, deadliest conflict in history, causing World War II casualties, the death of 70 to 85 million people, more than half of whom were civilians. Millions died in genocides, including the Holocaust, and by massacres, starvation, and disease. After the Allied victory, Allied-occupied Germany, Germany, Allied-occupied Austria, Austria, Occupation of Japan, Japan, a ...
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University Of Notre Dame
The University of Notre Dame du Lac (known simply as Notre Dame; ; ND) is a Private university, private Catholic research university in Notre Dame, Indiana, United States. Founded in 1842 by members of the Congregation of Holy Cross, a Catholic religious order of priests and brothers, Campus of the University of Notre Dame, the main campus of 1,261 acres (510 Hectare, ha) has a suburban setting and contains landmarks such as the Main Building (University of Notre Dame), Golden Dome main building, Basilica of the Sacred Heart (Notre Dame), Sacred Heart Basilica, the Grotto of Our Lady of Lourdes, Notre Dame, Grotto of Our Lady of Lourdes, the Word of Life (mural), Word of Life mosaic mural, and Notre Dame Stadium. Notre Dame is Carnegie Classification of Institutions of Higher Education, classified among "R1: Doctoral Universities – Very high research activity". The university is organized into seven schools and colleges: Notre Dame College of Arts and Letters, College of Art ...
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Robert Lee Moore
Robert Lee Moore (November 14, 1882 – October 4, 1974) was an American mathematician who taught for many years at the University of Texas. He is known for his work in general topology, for the Moore method of teaching university mathematics, and for his racist treatment of African-American mathematics students. Life Although Moore's father was reared in New England and was of New England ancestry, he fought in the American Civil War on the side of the Confederacy. After the war, he ran a hardware store in Dallas, then little more than a railway stop, and raised six children, of whom Robert, named after the commander of the Confederate Army of Northern Virginia, was the fifth. Moore entered the University of Texas at the unusually youthful age of 15, in 1898, already knowing calculus thanks to self-study. He completed the B.Sc. in three years instead of the usual four; his teachers included G. B. Halsted and L. E. Dickson. After a year as a teaching fellow at Texas, he tau ...
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Gordon Whyburn
Gordon Thomas Whyburn (January 7, 1904, Lewisville, Texas – September 8, 1969, Charlottesville, Virginia) was an American mathematician who worked on topology. Whyburn studied at the University of Texas, Austin, where he earned a bachelor's degree in chemistry in 1925. Under the influence of his teacher Robert Lee Moore, Whyburn continued to study at Austin but changed to mathematics and earned a master's degree in mathematics in 1926 and then a PhD in 1927. After two years as an adjunct professor at U. of Texas, with the aid of a Guggenheim fellowship Whyburn spent the academic year 1929/1930 in Vienna with Hans Hahn and in Warsaw with Kuratowski and Sierpinski. After the fellowship expired, Whyburn became a professor at Johns Hopkins University. From 1934, he was a professor at the University of Virginia, where he modernized the mathematics department and spent the rest of his career. He was chair of the department until his first heart attack in 1966; Edward J. ...
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