Fred Galvin

	Fred Galvin Frederick William Galvin is a mathematician, currently a professor at the University of Kansas. His research interests include set theory and combinatorics. His notable combinatorial work includes the proof of the Dinitz conjecture. In set theory, he proved with András Hajnal that if ℵω1 is a limit cardinal, strong limit cardinal, then : 2^<\aleph_ holds. The research on extending this result led Saharon Shelah to the invention of PCF theory. Galvin gave an elementary proof of the Baumgartner–Hajnal theorem $\omega_1\to(\alpha)^2_k$ ( $\alpha<\omega_1, k<\omega$ ). The original proof by James Earl Baumgartner, Baumgartner and Hajnal used Forcing (mathematics), forcing and absoluteness. Galvin and Shelah also proved the square bracket partition relations $\aleph_1\not\to[\aleph_1]^2_4$ and $2^\not\to[2^]^2_$ . Galvin also proved the partition relation $\eta\to[\eta]^2_3$ where η denotes the order type of the set ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	University Of Kansas The University of Kansas (KU) is a public research university with its main campus in Lawrence, Kansas, United States, and several satellite campuses, research and educational centers, medical centers, and classes across the state of Kansas. Two branch campuses are in the Kansas City metropolitan area on the Kansas side: the university's medical school and hospital in Kansas City, Kansas, the Edwards Campus in Overland Park. There are also educational and research sites in Garden City, Hays, Leavenworth, Parsons, and Topeka, an agricultural education center in rural north Douglas County, and branches of the medical school in Salina and Wichita. The university is a member of the Association of American Universities and is classified among "R1: Doctoral Universities – Very high research activity". Founded March 21, 1865, the university was opened in 1866, under a charter granted by the Kansas State Legislature in 1864 and legislation passed in 1863 under the State Cons ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Péter Komjáth Péter Komjáth (born 8 April 1953) is a Hungarian mathematician, working in set theory, especially combinatorial set theory. Komjáth is a professor at the Faculty of Sciences of the Eötvös Loránd University. He is currently a visiting faculty member at Emory University in the department of Mathematics and Computer Science. Komjáth won a gold medal at the International Mathematical Olympiad in 1971. His Ph.D. advisor at Eötvös was András Hajnal, and he has two joint papers with Paul Erdős. He received the Paul Erdős Prize in 1990. He is a member of the Hungarian Academy of Sciences The Hungarian Academy of Sciences ( hu, Magyar Tudományos Akadémia, MTA) is the most important and prestigious learned society of Hungary. Its seat is at the bank of the Danube in Budapest, between Széchenyi rakpart and Akadémia utca. Its ma .... Selected publications * Komjáth, Péter and Vilmos Totik: ''Problems and Theorems in Classical Set Theory'', Springer-Verlag, Berlin, 2006 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	University Of Minnesota Alumni A university () is an educational institution, institution of higher education, higher (or Tertiary education, tertiary) education and research which awards academic degrees in several Discipline (academia), academic disciplines. Universities typically offer both undergraduate education, undergraduate and postgraduate education, postgraduate programs. In the United States, the designation is reserved for colleges that have a graduate school. The word ''university'' is derived from the Latin ''universitas magistrorum et scholarium'', which roughly means "community of teachers and scholars". The first universities were created in Europe by Catholic Church monks. The University of Bologna (''Università di Bologna''), founded in 1088, is the first university in the sense of: Being a high degree-awarding institute. Having independence from the ecclesiastic schools, although conducted by both clergy and non-clergy. Using the word ''universitas'' (which was coined at its foundation ... [...More Info...] [...Related Items...] OR:* [Wikipedia] [Google] [Baidu]
	Set Theorists Set, The Set, SET or SETS may refer to: Science, technology, and mathematics Mathematics Set (mathematics), a collection of elements Category of sets, the category whose objects and morphisms are sets and total functions, respectively Electronics and computing Set (abstract data type), a data type in computer science that is a collection of unique values * Set (C++), a set implementation in the C++ Standard Library * Set (command), a command for setting values of environment variables in Unix and Microsoft operating-systems * Secure Electronic Transaction, a standard protocol for securing credit card transactions over insecure networks * Single-electron transistor, a device to amplify currents in nanoelectronics * Single-ended triode, a type of electronic amplifier * Set!, a programming syntax in the scheme programming language Biology and psychology * Set (psychology), a set of expectations which shapes perception or thought Set or sett, a badger's den Set, a small tuber ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	21st-century American Mathematicians The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius ( AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman empero ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Living People Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	List Of Chess Variants This is a list of chess variants. Many thousands of variants exist. The 2007 catalogue ''The Encyclopedia of Chess Variants'' estimates that there are well over 2,000, and many more were considered too trivial for inclusion in the catalogue. Chess-derived games These chess variants are derived from chess by changing the board, board setup, pieces, or rules. Standard rules and standard piece types Many variants employ standard chess rules and mechanics, but vary the starting position of the pieces or number of pieces. Standard rules, standard piece types, variant board In these variants, the same pieces and rules as in chess are used, but the board is different; It can be smaller or larger, the shape of either the board or individual spaces can be non-square or modular, or it can even be extra-dimensional or unbounded. The movement of pieces in some variants is modified in concurrence with the geometry of the gameboard. * Active Chess: Played on a 9×8 board, adding a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	University Of Minnesota The University of Minnesota, formally the University of Minnesota, Twin Cities, (UMN Twin Cities, the U of M, or Minnesota) is a public university, public Land-grant university, land-grant research university in the Minneapolis–Saint Paul, Twin Cities of Minneapolis and Saint Paul, Minnesota, United States. The Twin Cities campus comprises locations in Minneapolis and Falcon Heights, Minnesota, Falcon Heights, a suburb of St. Paul, approximately apart. The Twin Cities campus is the oldest and largest in the University of Minnesota system and has the List of United States university campuses by enrollment, ninth-largest main campus student body in the United States, with 52,376 students at the start of the 2021–22 academic year. It is the Flagship#Colleges and universities in the United States, flagship institution of the University of Minnesota System, and is organized into 19 colleges, schools, and other major academic units. The Minnesota Territorial Legislature drafted a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Graph Coloring In graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called "colors" to elements of a graph subject to certain constraints. In its simplest form, it is a way of coloring the vertices of a graph such that no two adjacent vertices are of the same color; this is called a vertex coloring. Similarly, an edge coloring assigns a color to each edge so that no two adjacent edges are of the same color, and a face coloring of a planar graph assigns a color to each face or region so that no two faces that share a boundary have the same color. Vertex coloring is often used to introduce graph coloring problems, since other coloring problems can be transformed into a vertex coloring instance. For example, an edge coloring of a graph is just a vertex coloring of its line graph, and a face coloring of a plane graph is just a vertex coloring of its dual. However, non-vertex coloring problems are often stated and studied as-is. This is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Graph (discrete Mathematics) In discrete mathematics, and more specifically in graph theory, a graph is a structure amounting to a Set (mathematics), set of objects in which some pairs of the objects are in some sense "related". The objects correspond to mathematical abstractions called ''Vertex (graph theory), vertices'' (also called ''nodes'' or ''points'') and each of the related pairs of vertices is called an ''edge'' (also called ''link'' or ''line''). Typically, a graph is depicted in diagrammatic form as a set of dots or circles for the vertices, joined by lines or curves for the edges. Graphs are one of the objects of study in discrete mathematics. The edges may be directed or undirected. For example, if the vertices represent people at a party, and there is an edge between two people if they shake hands, then this graph is undirected because any person ''A'' can shake hands with a person ''B'' only if ''B'' also shakes hands with ''A''. In contrast, if an edge from a person ''A'' to a person ''B'' m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]