John Willard Milnor (born February 20, 1931) is an American mathematician known for his work in differential topology, algebraic K-theory and low-dimensional...

Milnor conjecture may refer to: Milnor conjecture (K-theory) in algebraic K-theory Milnor conjecture (knot theory) in knot theory Milnor conjecture (Ricci...

mathematical subject of geometric group theory, the Švarc–Milnor lemma (sometimes also called Milnor–Švarc lemma, with both variants also sometimes spelling...

In the mathematical theory of knots, the Fáry–Milnor theorem, named after István Fáry and John Milnor, states that three-dimensional smooth curves with...

create new manifolds out of disk bundles. It was first described by John Milnor and subsequently used extensively in surgery theory to produce manifolds...

(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}}...

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...

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...

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...

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)...

finite-dimensional manifold from another in a 'controlled' way, introduced by John Milnor (1961). Milnor called this technique surgery, while Andrew Wallace called it...

received his Ph.D. from Princeton University under the supervision of John Milnor, with his thesis, On Spaces Satisfying Poincaré Duality. Afterwards,...

the norm residue isomorphism theorem is a long-sought result relating Milnor K-theory and Galois cohomology. The result has a relatively elementary formulation...

John Milnor Miller (September 1820 – February 1, 1897) was an American politician from Maryland. He served as a member of the Maryland Senate, representing...

21 July 2022. "2010: John Torrence Tate". The Norwegian Academy of Science and Letters. Retrieved 21 July 2022. "2011: John Milnor". The Norwegian Academy...

many distinguished topologists, including the Fields medal awardees John Milnor, Steve Smale, Michael Freedman, and Grigori Perelman. Here is a summary...

Prizes Prizes for Science Books previous winners and shortlists John Milnor, Review -John Nash and A Beautiful Mind, American Mathematical Society, October...

Alexander Grothendieck, Hans Grauert, Nicolaas Kuiper, Raoul Bott, John Milnor, Stephen Smale, Armand Borel, Shiing-Shen Chern, Kunihiko Kodaira, Donald...

(2004). Nonlinear time series analysis. Cambridge university press. John Milnor (1985). "On the concept of attractor". Communications in Mathematical...

curvature Milnor construction Milnor K-theory Milnor fibration Milnor invariants Milnor manifold Milnor map Milnor–Moore theorem Milnor number Milnor ring...

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...

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...

again.) He directed 21 doctoral dissertations, including those of John Milnor, John Stallings, Francisco González-Acuña, Guillermo Torres-Diaz and Barry...

(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...

higher dimensions. Such a generalization was used by Michael Barratt and John Milnor to provide examples of compact, finite-dimensional spaces with nontrivial...

example was constructed by John Milnor in dimension 7. He constructed a smooth 7-dimensional manifold (called now Milnor's sphere) that is homeomorphic...

invariant under topological conjugacy. The theory had been developed by John Milnor and William Thurston in two widely circulated and influential Princeton...

spheres is homotopy-equivalent to a product of loop spaces of spheres. John Milnor (1972) showed more generally that the loop space of the suspension of...

In 1968 John Milnor conjectured that the fundamental group of a complete manifold is finitely generated if its Ricci curvature stays nonnegative. In an...

homeomorphisms. These developments establish a connection between the John Milnor groups of differentiable structures on spheres and the smoothing methods...