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 is a surname, and may refer to: James Milnor (1773–1845), American politician John Milnor (born 1931), American mathematician Kristina Milnor, American...

(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}}...

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

growth, thus providing an answer to an important open problem posed by John Milnor in 1968. The Grigorchuk group remains a key object of study in geometric...

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

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

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

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)...

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

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

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

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, 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...

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

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...

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

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...

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...

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

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

Archived from the original on 8 April 2022. Retrieved 7 April 2019. "John W. Milnor". Stony Brook University. 5 March 1997. Archived from the original on...

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

invariant), and (with John Milnor) computed the number of exotic spheres in dimensions greater than four, known as Kervaire–Milnor groups. He is also well...

a real-polynomial map F: R4→R2, so (according to a theorem of John Milnor) the Milnor map of F is actually a fibration. Bernard Perron found the first...

the Milnor–Wood inequality is an obstruction to endow circle bundles over surfaces with a flat structure. It is named after John Milnor and John W. Wood...

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

analogues of the Poincaré conjecture, had been done earlier by René Thom, John Milnor, Stephen Smale and Sergei Novikov. A very pervasive and flexible technique...

conjecture gained the reputation of being particularly tricky to tackle. John Milnor commented that sometimes the errors in false proofs can be "rather subtle...

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...