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30 relations: Algebraic K-theory, Algebraic topology, Bielefeld University, Doctor of Philosophy, Friedrich Hirzebruch, Günter Harder, Germany, Graph manifold, Haken manifold, Hückelhoven, Heegaard splitting, History of knot theory, Loop theorem, Ludwig Maximilian University of Munich, Mathematician, Princeton University, Rhine Province, Ring spectrum, Ruhr University Bochum, Smith conjecture, Surface subgroup conjecture, University of Bonn, University of Göttingen, University of Illinois at Urbana–Champaign, University of Kiel, University of Michigan, University of Osnabrück, Virtually Haken conjecture, Waldhausen category, 3-manifold.
Algebraic K-theory
Algebraic K-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number theory.
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Algebraic topology
Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.
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Bielefeld University
Bielefeld University (Universität Bielefeld) is a university in Bielefeld, Germany.
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Doctor of Philosophy
A Doctor of Philosophy (PhD or Ph.D.; Latin Philosophiae doctor) is the highest academic degree awarded by universities in most countries.
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Friedrich Hirzebruch
Friedrich Ernst Peter Hirzebruch ForMemRS (17 October 1927 – 27 May 2012) was a German mathematician, working in the fields of topology, complex manifolds and algebraic geometry, and a leading figure in his generation.
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Günter Harder
Günter Harder (born 14 March 1938 in Ratzeburg) is a German mathematician, specializing in arithmetic geometry and number theory.
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Germany
Germany (Deutschland), officially the Federal Republic of Germany (Bundesrepublik Deutschland), is a sovereign state in central-western Europe.
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Graph manifold
In topology, a graph manifold (in German: Graphenmannigfaltigkeit) is a 3-manifold which is obtained by gluing some circle bundles.
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Haken manifold
In mathematics, a Haken manifold is a compact, P²-irreducible 3-manifold that is sufficiently large, meaning that it contains a properly embedded two-sided incompressible surface.
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Hückelhoven
Hückelhoven is a town in the district of Heinsberg, in North Rhine-Westphalia, Germany.
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Heegaard splitting
In the mathematical field of geometric topology, a Heegaard splitting is a decomposition of a compact oriented 3-manifold that results from dividing it into two handlebodies.
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History of knot theory
Knots have been used for basic purposes such as recording information, fastening and tying objects together, for thousands of years.
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Loop theorem
In mathematics, in the topology of 3-manifolds, the loop theorem is a generalization of Dehn's lemma.
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Ludwig Maximilian University of Munich
Ludwig Maximilian University of Munich (also referred to as LMU or the University of Munich, in German: Ludwig-Maximilians-Universität München) is a public research university located in Munich, Germany.
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Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.
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Princeton University
Princeton University is a private Ivy League research university in Princeton, New Jersey.
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Rhine Province
The Rhine Province (Rheinprovinz), also known as Rhenish Prussia (Rheinpreußen) or synonymous with the Rhineland (Rheinland), was the westernmost province of the Kingdom of Prussia and the Free State of Prussia, within the German Reich, from 1822 to 1946.
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Ring spectrum
In stable homotopy theory, a ring spectrum is a spectrum E together with a multiplication map and a unit map where S is the sphere spectrum.
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Ruhr University Bochum
The Ruhr-University Bochum (German: Ruhr-Universität Bochum, RUB), located on the southern hills of central Ruhr area Bochum, was founded in 1962 as the first new public university in Germany after World War II.
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Smith conjecture
In mathematics, the Smith conjecture states that if f is a diffeomorphism of the 3-sphere of finite order, then the fixed point set of f cannot be a nontrivial knot.
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Surface subgroup conjecture
In mathematics, the surface subgroup conjecture of Friedhelm Waldhausen states that the fundamental group of every closed, irreducible 3-manifold with infinite fundamental group has a surface subgroup.
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University of Bonn
The University of Bonn (Rheinische Friedrich-Wilhelms-Universität Bonn) is a public research university located in Bonn, Germany.
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University of Göttingen
The University of Göttingen (Georg-August-Universität Göttingen, GAU, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany.
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University of Illinois at Urbana–Champaign
The University of Illinois Urbana–Champaign (also known as U of I, Illinois, or colloquially as the University of Illinois or UIUC) is a public research university in the U.S. state of Illinois and the flagship institution of the University of Illinois System.
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University of Kiel
Kiel University (German: Christian-Albrechts-Universität zu Kiel, CAU) is a university in the city of Kiel, Germany.
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University of Michigan
The University of Michigan (UM, U-M, U of M, or UMich), often simply referred to as Michigan, is a public research university in Ann Arbor, Michigan.
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University of Osnabrück
The University of Osnabrück (Universität Osnabrück) is a public research university located in the city of Osnabrück in Lower Saxony, Germany.
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Virtually Haken conjecture
In topology, an area of mathematics, the virtually Haken conjecture states that every compact, orientable, irreducible three-dimensional manifold with infinite fundamental group is virtually Haken.
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Waldhausen category
In mathematics, a Waldhausen category is a category C equipped with some additional data, which makes it possible to construct the K-theory spectrum of C using a so-called S-construction.
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3-manifold
In mathematics, a 3-manifold is a space that locally looks like Euclidean 3-dimensional space.
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References
[1] https://en.wikipedia.org/wiki/Friedhelm_Waldhausen
