Search results
There is a page named "Ax-Grothendieck theorem" on Wikipedia
- mathematics, the Ax–Grothendieck theorem is a result about injectivity and surjectivity of polynomials that was proved independently by James Ax and Alexander...7 KB (818 words) - 02:55, 26 December 2021
- {\displaystyle p.} One consequence is the following special case of the Ax–Grothendieck theorem: all injective complex polynomials C n → C n {\displaystyle \mathbb...14 KB (1,948 words) - 18:48, 19 January 2024
- Alexander Grothendieck (1928–2014) is the eponym of many things. Ax–Grothendieck theorem Birkhoff–Grothendieck theorem Brieskorn–Grothendieck resolution...3 KB (155 words) - 01:34, 1 March 2023
- uses it to analyze the concept of randomness. 1966 - Grothendieck proves the Ax-Grothendieck theorem: any injective polynomial self-map of algebraic varieties...8 KB (948 words) - 18:00, 17 November 2023
- approximation) Ax–Grothendieck theorem (model theory) Ax–Kochen theorem (number theory) Aztec diamond theorem (combinatorics) BBD decomposition theorem (algebraic...73 KB (6,015 words) - 12:17, 2 August 2024
- James Burton Ax (10 January 1937 – 11 June 2006) was an American mathematician who made groundbreaking contributions in algebra and number theory using...10 KB (913 words) - 20:37, 20 June 2024
non-surjective function (also not a bijection) Mathematics portal Ax–Grothendieck theorem Bijection, injection and surjection Bijective numeration Bijective...19 KB (2,509 words) - 09:03, 29 July 2024- logic) Differentially closed field Exponential field Ax–Grothendieck theorem Ax–Kochen theorem Peano axioms Non-standard model of arithmetic First-order...14 KB (1,012 words) - 19:53, 12 November 2023
- arguments such as vanishing theorems must be used. Arakelov theory Grothendieck–Riemann–Roch theorem Hirzebruch–Riemann–Roch theorem Kawasaki's Riemann–Roch...32 KB (4,966 words) - 14:27, 17 December 2023
Garden of Eden (cellular automaton) (redirect from Garden of Eden theorem)Eden theorem asserts that every injective cellular automaton is surjective. It can be proven for sofic groups using the Ax–Grothendieck theorem, an analogous...28 KB (3,497 words) - 23:59, 19 August 2024- In mathematics, the Grothendieck inequality states that there is a universal constant K G {\displaystyle K_{G}} with the following property. If Mij is...29 KB (4,822 words) - 21:47, 12 February 2024
- Tarski–Grothendieck set theory (TG, named after mathematicians Alfred Tarski and Alexander Grothendieck) is an axiomatic set theory. It is a non-conservative...8 KB (1,036 words) - 12:45, 12 December 2023
- The Hahn–Banach theorem is a central tool in functional analysis. It allows the extension of bounded linear functionals defined on a vector subspace of...77 KB (12,643 words) - 19:21, 19 April 2024
- In mathematics, Richardson's theorem establishes the undecidability of the equality of real numbers defined by expressions involving integers, π, ln ...6 KB (697 words) - 13:13, 11 June 2024
- 2014, it is still unknown whether every group is surjunctive. Ax–Grothendieck theorem, an analogous result for polynomials Ceccherini-Silberstein & Coornaert...6 KB (758 words) - 01:29, 13 November 2023
- Witt group (redirect from Witt–Grothendieck ring)introduced formally through the construction that was discovered by Grothendieck (see Grothendieck group). There is a natural homomorphism GW → Z given by dimension:...21 KB (3,169 words) - 09:30, 25 April 2024
- Glossary of arithmetic and diophantine geometry (redirect from Coates–Wiles theorem)variety, semistable elliptic curve, Serre–Tate theorem. Grothendieck–Katz conjecture The Grothendieck–Katz p-curvature conjecture applies reduction modulo...37 KB (4,753 words) - 14:39, 23 July 2024
- Law of excluded middle (redirect from Ganto's Ax)(see Nouveaux Essais, IV,2)" (ibid p 421) The principle was stated as a theorem of propositional logic by Russell and Whitehead in Principia Mathematica...38 KB (5,693 words) - 21:00, 11 July 2024
- James Ax POLY Mathematics professor at Stanford University and Cornell University; won Frank Nelson Cole Prize in Number Theory; proved Ax–Grothendieck theorem...310 KB (4,797 words) - 12:53, 19 August 2024
Projective variety (section Riemann–Roch theorem)Riemann–Roch theorem to higher dimension is the Hirzebruch–Riemann–Roch theorem, as well as the far-reaching Grothendieck–Riemann–Roch theorem. Hilbert schemes...45 KB (7,530 words) - 18:38, 11 December 2022
- an article on: Ax-Grothendieck theorem Wikipedia Proved independently by James Ax and Alexander Grothendieck. the Ax-Grothendieck theorem (mathematics)
- It is a collection of definitions, postulates (axioms), propositions (theorems and constructions), and mathematical proofs of the propositions. The thirteen
- This topology will be called Zariski topology, although only Alexander Grothendieck gave the definition in the above generality. Definition 16.2: Let R {\displaystyle