Godfrey Peter Scott, known as Peter Scott, (born 1944) is a British mathematician, known for the Scott core theorem. Scott received his PhD in 1969 from the University of Warwick under Brian Joseph Sanderson. Scott was a professor at the University of Liverpool and later at the University of Michigan. In 1986 he was awarded the Senior Berwick Prize. in 2012 he was elected a Fellow of the American Mathematical Society.
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| - جي. بيتر سكوت (ar)
- G. Peter Scott (de)
- G. Peter Scott (en)
- G. Peter Scott (fr)
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| - جي. بيتر سكوت (بالإنجليزية: G. Peter Scott) هو رياضياتي بريطاني، ولد في 1945. (ar)
- Godfrey Peter Scott, connu aussi sous le nom de Peter Scott, (né en 1945) est un mathématicien britannique, connu pour le (en). (fr)
- Godfrey Peter Scott, genannt Peter Scott, (* 1945) ist ein britischer Mathematiker. Scott wurde 1968 bei an der University of Warwick promoviert (Some problems in topology). Er war Professor an der University of Liverpool und später an der University of Michigan. 1986 erhielt er den Senior Berwick Prize. Er ist Fellow der American Mathematical Society. (de)
- Godfrey Peter Scott, known as Peter Scott, (born 1944) is a British mathematician, known for the Scott core theorem. Scott received his PhD in 1969 from the University of Warwick under Brian Joseph Sanderson. Scott was a professor at the University of Liverpool and later at the University of Michigan. In 1986 he was awarded the Senior Berwick Prize. in 2012 he was elected a Fellow of the American Mathematical Society. (en)
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| - جي. بيتر سكوت (بالإنجليزية: G. Peter Scott) هو رياضياتي بريطاني، ولد في 1945. (ar)
- Godfrey Peter Scott, genannt Peter Scott, (* 1945) ist ein britischer Mathematiker. Scott wurde 1968 bei an der University of Warwick promoviert (Some problems in topology). Er war Professor an der University of Liverpool und später an der University of Michigan. Scott befasst sich mit der Geometrie und Topologie von dreidimensionalen Mannigfaltigkeiten und der zugehörigen Gruppentheorie (kombinatorische bzw. geometrische Gruppentheorie), speziell Kleinschen Gruppen und hyperbolischer Geometrie im Rahmen des Thurston-Programms. Er befasst sich auch mit Gruppen mit negativer Krümmung wie den Fundamentalgruppen geschlossener Flächen, mit Minimalflächen und der Geometrie von geodätischen Kurven auf Flächen. Auf ihn geht der Satz über den kompakten Kern (engl.: Scott Core Theorem ) zurück. Dieser besagt, dass jede 3-Mannigfaltigkeit mit endlich erzeugter Fundamentalgruppe einen kompakten Kern hat, d. h. eine kompakte Untermannigfaltigkeit, deren Inklusion in eine Homotopieäquivalenz ist. Bereits vorher hatte er bewiesen, dass endlich erzeugte 3-Mannigfaltigkeits-Fundamentalgruppen endlich präsentiert sein müssen. 1986 erhielt er den Senior Berwick Prize. Er ist Fellow der American Mathematical Society. (de)
- Godfrey Peter Scott, known as Peter Scott, (born 1944) is a British mathematician, known for the Scott core theorem. Scott received his PhD in 1969 from the University of Warwick under Brian Joseph Sanderson. Scott was a professor at the University of Liverpool and later at the University of Michigan. His research deals with low-dimensional geometric topology, differential geometry, and geometric group theory. He has done research on the geometric topology of 3-dimensional manifolds, 3-dimensional hyperbolic geometry, minimal surface theory, hyperbolic groups, and Kleinian groups with their associated geometry, topology, and group theory. In 1973 he proved what is now known as the Scott core theorem or the Scott compact core theorem. This states that every 3-manifold with finitely generated fundamental group has a compact core , i.e., is a compact submanifold such that inclusion induces a homotopy equivalence between and ; the submanifold is called a Scott compact core of the manifold . He had previously proved that, given a fundamental group of a 3-manifold, if is finitely generated then must be finitely presented. In 1986 he was awarded the Senior Berwick Prize. in 2012 he was elected a Fellow of the American Mathematical Society. (en)
- Godfrey Peter Scott, connu aussi sous le nom de Peter Scott, (né en 1945) est un mathématicien britannique, connu pour le (en). (fr)
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