• Thumbnail for John Milnor
    John Willard Milnor (born February 20, 1931) is an American mathematician known for his work in differential topology, algebraic K-theory and low-dimensional...
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  • Milnor conjecture may refer to: Milnor conjecture (K-theory) in algebraic K-theory Milnor conjecture (knot theory) in knot theory Milnor conjecture (Ricci...
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  • mathematical subject of geometric group theory, the Švarc–Milnor lemma (sometimes also called Milnor–Švarc lemma, with both variants also sometimes spelling...
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  • In the mathematical theory of knots, the Fáry–Milnor theorem, named after István Fáry and John Milnor, states that three-dimensional smooth curves with...
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  • In mathematics, the Milnor conjecture was a proposal by John Milnor (1970) of a description of the Milnor K-theory (mod 2) of a general field F with characteristic...
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  • In mathematics, Milnor maps are named in honor of John Milnor, who introduced them to topology and algebraic geometry in his book Singular Points of Complex...
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  • Exotic sphere (redirect from Milnor sphere)
    (hence the name "exotic"). The first exotic spheres were constructed by John Milnor (1956) in dimension n = 7 {\displaystyle n=7} as S 3 {\displaystyle S^{3}}...
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  • analog of the knot group of a knot. They were described by John Milnor in his Ph.D. thesis, (Milnor 1954). Notably, the link group is not in general the fundamental...
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  • In 1968 John Milnor conjectured that the fundamental group of a complete manifold is finitely generated if its Ricci curvature stays nonnegative. In an...
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  • finite-dimensional manifold from another in a 'controlled' way, introduced by John Milnor (1961). Milnor called this technique surgery, while Andrew Wallace called it...
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  • John Milnor Miller (September 1820 – February 1, 1897) was an American politician from Maryland. He served as a member of the Maryland Senate, representing...
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  • 21 July 2022. "2010: John Torrence Tate". The Norwegian Academy of Science and Letters. Retrieved 21 July 2022. "2011: John Milnor". The Norwegian Academy...
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  • Prizes Prizes for Science Books previous winners and shortlists John Milnor, Review -John Nash and A Beautiful Mind, American Mathematical Society, October...
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  • mathematics, Milnor K-theory is an algebraic invariant (denoted K ∗ ( F ) {\displaystyle K_{*}(F)} for a field F {\displaystyle F} ) defined by John Milnor (1970)...
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  • curvature Milnor construction Milnor K-theory Milnor fibration Milnor invariants Milnor manifold Milnor map Milnor–Moore theorem Milnor number Milnor ring...
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  • Thumbnail for Attractor
    (2004). Nonlinear time series analysis. Cambridge university press. John Milnor (1985). "On the concept of attractor". Communications in Mathematical...
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  • Thumbnail for Michael Spivak
    received his Ph.D. from Princeton University under the supervision of John Milnor, with his thesis, On Spaces Satisfying Poincaré Duality. Afterwards,...
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  • Thumbnail for Plumbing (mathematics)
    create new manifolds out of disk bundles. It was first described by John Milnor and subsequently used extensively in surgery theory to produce manifolds...
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  • (2005) p.139 Lemmermeyer (2000) p.66 Milnor (1971) p.101 Milnor (1971) p.102 Gras (2003) p.205 Milnor (1971) p.175 Milnor (1971) p.81 Lemmermeyer (2000) p...
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  • the norm residue isomorphism theorem is a long-sought result relating Milnor K-theory and Galois cohomology. The result has a relatively elementary formulation...
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  • many distinguished topologists, including the Fields medal awardees John Milnor, Steve Smale, Michael Freedman, and Grigori Perelman. Here is a summary...
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  • the Milnor number, named after John Milnor, is an invariant of a function germ. If f is a complex-valued holomorphic function germ then the Milnor number...
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  • Alexander Grothendieck, Hans Grauert, Nicolaas Kuiper, Raoul Bott, John Milnor, Stephen Smale, Armand Borel, Shiing-Shen Chern, Kunihiko Kodaira, Donald...
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  • 1938 – January 23, 1969) was an American mathematician, a student of John Milnor, and a researcher at the RAND Corporation. Folkman was a Putnam Fellow...
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  • Thumbnail for Diffeomorphism
    example was constructed by John Milnor in dimension 7. He constructed a smooth 7-dimensional manifold (called now Milnor's sphere) that is homeomorphic...
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  • Thumbnail for Conjecture
    is now known to be false. The non-manifold version was disproved by John Milnor in 1961 using Reidemeister torsion. The manifold version is true in dimensions...
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  • again.) He directed 21 doctoral dissertations, including those of John Milnor, John Stallings, Francisco González-Acuña, Guillermo Torres-Diaz and Barry...
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  • invariant under topological conjugacy. The theory had been developed by John Milnor and William Thurston in two widely circulated and influential Princeton...
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  • Thumbnail for Algebraic topology
    Jean Leray Saunders Mac Lane Mark Mahowald J. Peter May Barry Mazur John Milnor John Coleman Moore Jack Morava Joseph Neisendorfer Emmy Noether Sergei Novikov...
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  • Thumbnail for Tricorn (mathematics)
    by W. D. Crowe, R. Hasson, P. J. Rippon, and P. E. D. Strain-Clark. John Milnor found tricorn-like sets as a prototypical configuration in the parameter...
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