James Earl Baumgartner (original) (raw)
جيمس إيرل باومغارتنر (بالإنجليزية: James Earl Baumgartner) هو فيلسوف ورياضياتي أمريكي، ولد في 23 مارس 1943 في ويتشيتا في الولايات المتحدة، وتوفي في 28 ديسمبر 2011 في هانوفر في الولايات المتحدة.
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| dbo:abstract | جيمس إيرل باومغارتنر (بالإنجليزية: James Earl Baumgartner) هو فيلسوف ورياضياتي أمريكي، ولد في 23 مارس 1943 في ويتشيتا في الولايات المتحدة، وتوفي في 28 ديسمبر 2011 في هانوفر في الولايات المتحدة. (ar) James Earl „Jim“ Baumgartner (* 23. März 1943 in Wichita; † 28. Dezember 2011) war ein US-amerikanischer Mathematiker, der sich mit axiomatischer Mengenlehre und Grundlagen der Mathematik befasste. Baumgartner studierte am Caltech mit dem Bachelor-Abschluss 1960 und wurde 1970 an der University of California, Berkeley bei Robert Vaught promoviert (Results and Independence Proofs in Combinatorial Set Theory). 1969 wurde er Instructor, 1971 Assistant Professor, 1976 Associate Professor und 1980 Professor am Dartmouth College. Ab 1983 war er dort John G. Kemeny Parents´ Professor. 1982 wurde bei ihm Multiple Sklerose diagnostiziert, die ihn schließlich in den Rollstuhl zwang. Er starb an einem Herzanfall. 1971/72 war er Gastprofessor am Caltech. Er befasste sich mit iteriertem Forcing und formulierte aufbauend auf Arbeiten von Saharon Shelah das Proper Forcing Axiom (PFA), zeigte dessen relative Konsistenz zu ZFC und wandte das PFA vielfach an. Er bewies die relative ZFC-Konsistenz des Satzes, dass je zwei -dichte Mengen in den reellen Zahlen ordnungs-isomorph sind. Ein weiteres einflussreiches Theorem von Baumgartner ist sein Beweis mit András Hajnal einer Partitionsrelation der Ordinalzahlen. Er war seit 1966 verheiratet und hatte zwei Söhne. Zu seinen Doktoranden gehörten Stan Wagon, Jean Larson, Tadatoshi Miyamoto und Alan D. Taylor. (de) James Earl Baumgartner (March 23, 1943 – December 28, 2011) was an American mathematician who worked in set theory, mathematical logic and foundations, and topology. Baumgartner was born in Wichita, Kansas, began his undergraduate study at the California Institute of Technology in 1960, then transferred to the University of California, Berkeley, from which he received his PhD in 1970 from for a dissertation entitled Results and Independence Proofs in Combinatorial Set Theory. His advisor was Robert Vaught. He became a professor at Dartmouth College in 1969, and spent there his entire career. One of Baumgartner's results is the consistency of the statement that any two -dense sets of reals are order isomorphic (a set of reals is -dense if it has exactly points in every open interval). With András Hajnal he proved the , which states that the partition relation holds for and . He died in 2011 of a heart attack at his home in Hanover, New Hampshire. The mathematical context in which Baumgartner worked spans Suslin's problem, Ramsey theory, uncountable order types, disjoint refinements, almost disjoint families, cardinal arithmetics, filters, ideals, and partition relations, iterated forcing and Axiom A, proper forcing and the proper forcing axiom, chromatic number of graphs, a thin very-tall superatomic Boolean algebra, closed unbounded sets, and partition relations. (en) James „Jim“ Earl Baumgartner (né le 23 mars 1943 à Wichita (Kansas) et mort le 28 décembre 2011 à Hanover (New Hampshire)) est un mathématicien américain qui a travaillé en théorie axiomatique des ensembles, et en fondements des mathématiques. (fr) James Earl Baumgartner (Wichita, Kansas, 23 de março de 1943 – 28 de dezembro de 2011) foi um matemático estadunidense, que trabalhou nas áreas de teoria dos conjuntos, lógica matemática e topologia. Baumgartner começou seus estudos universitários nao Instituto de Tecnologia da Califórnia em 1960, transferindo-se depois para a Universidade da Califórnia em Berkeley, onde obteve um PhD em 1970 com a tese Results and Independence Proofs in Combinatorial Set Theory, orientado por Robert Lawson Vaught. Tornou-se professor do Dartmouth College em 1969, onde passou toda sua carreira. Com András Hajnal provou que a relação de partição vale para . Morreu vitimado por ataque cardíaco em 2011. Foi palestrante do Congresso Internacional de Matemáticos em Zurique (1994). (pt) |
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| rdfs:comment | جيمس إيرل باومغارتنر (بالإنجليزية: James Earl Baumgartner) هو فيلسوف ورياضياتي أمريكي، ولد في 23 مارس 1943 في ويتشيتا في الولايات المتحدة، وتوفي في 28 ديسمبر 2011 في هانوفر في الولايات المتحدة. (ar) James „Jim“ Earl Baumgartner (né le 23 mars 1943 à Wichita (Kansas) et mort le 28 décembre 2011 à Hanover (New Hampshire)) est un mathématicien américain qui a travaillé en théorie axiomatique des ensembles, et en fondements des mathématiques. (fr) James Earl „Jim“ Baumgartner (* 23. März 1943 in Wichita; † 28. Dezember 2011) war ein US-amerikanischer Mathematiker, der sich mit axiomatischer Mengenlehre und Grundlagen der Mathematik befasste. Baumgartner studierte am Caltech mit dem Bachelor-Abschluss 1960 und wurde 1970 an der University of California, Berkeley bei Robert Vaught promoviert (Results and Independence Proofs in Combinatorial Set Theory). 1969 wurde er Instructor, 1971 Assistant Professor, 1976 Associate Professor und 1980 Professor am Dartmouth College. Ab 1983 war er dort John G. Kemeny Parents´ Professor. 1982 wurde bei ihm Multiple Sklerose diagnostiziert, die ihn schließlich in den Rollstuhl zwang. Er starb an einem Herzanfall. (de) James Earl Baumgartner (March 23, 1943 – December 28, 2011) was an American mathematician who worked in set theory, mathematical logic and foundations, and topology. Baumgartner was born in Wichita, Kansas, began his undergraduate study at the California Institute of Technology in 1960, then transferred to the University of California, Berkeley, from which he received his PhD in 1970 from for a dissertation entitled Results and Independence Proofs in Combinatorial Set Theory. His advisor was Robert Vaught. He became a professor at Dartmouth College in 1969, and spent there his entire career. (en) James Earl Baumgartner (Wichita, Kansas, 23 de março de 1943 – 28 de dezembro de 2011) foi um matemático estadunidense, que trabalhou nas áreas de teoria dos conjuntos, lógica matemática e topologia. Baumgartner começou seus estudos universitários nao Instituto de Tecnologia da Califórnia em 1960, transferindo-se depois para a Universidade da Califórnia em Berkeley, onde obteve um PhD em 1970 com a tese Results and Independence Proofs in Combinatorial Set Theory, orientado por Robert Lawson Vaught. Tornou-se professor do Dartmouth College em 1969, onde passou toda sua carreira. (pt) |
| rdfs:label | جيمس إيرل باومغارتنر (ar) James Baumgartner (de) James Baumgartner (fr) James Earl Baumgartner (en) James Earl Baumgartner (pt) |
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