What is the answer to the Poincare Conjecture?
The Poincaré conjecture claims that if such a space has the additional property that each loop in the space can be continuously tightened to a point, then it is necessarily a three-dimensional sphere. The analogous conjectures for all higher dimensions were proved before a proof of the original conjecture was found.
Who solved Poincare Conjecture?
Grigori Perelman
| Grigori Perelman | |
|---|---|
| Nationality | Russian |
| Citizenship | Russia |
| Alma mater | Leningrad State University (PhD 1990) |
| Known for | Riemannian geometry Geometric topology Proof of the soul conjecture Proof of the Poincaré conjecture |
What is Poincare Conjecture used for?
The Poincare Conjecture is essentially the first conjecture ever made in topology; it asserts that a 3-dimensional manifold is the same as the 3-dimensional sphere precisely when a certain algebraic condition is satisfied.
How do you read a Poincare Conjecture?
Poincaré conjecture, in topology, conjecture—now proven to be a true theorem—that every simply connected, closed, three-dimensional manifold is topologically equivalent to S3, which is a generalization of the ordinary sphere to a higher dimension (in particular, the set of points in four-dimensional space that are …
What is the hardest math problem?
But those itching for their Good Will Hunting moment, the Guinness Book of Records puts Goldbach’s Conjecture as the current longest-standing maths problem, which has been around for 257 years. It states that every even number is the sum of two prime numbers: for example, 53 + 47 = 100. So far so simple.
Has Goldbach’s conjecture been proven?
Goldbach’s conjecture is one of the best-known unsolved problems in mathematics. It is a simple matter to check the conjecture for a few cases: 8 = 5+3, 16 = 13+3, 36 = 29+7. It has been confirmed for numbers up to more than a million million million.
Is the Hodge conjecture true?
Then the topological cohomology of X does not change, but the Hodge decomposition does change. It is known that if the Hodge conjecture is true, then the locus of all points on the base where the cohomology of a fiber is a Hodge class is in fact an algebraic subset, that is, it is cut out by polynomial equations.
What are the 7 unsolved math problems?
The problems are the Birch and Swinnerton-Dyer conjecture, Hodge conjecture, Navier–Stokes existence and smoothness, P versus NP problem, Poincaré conjecture, Riemann hypothesis, and Yang–Mills existence and mass gap.
Which country has toughest maths?
But when it comes to having the hardest math, China and South Korea top the list.
Why Bodmas is wrong?
Wrong answer Its letters stand for Brackets, Order (meaning powers), Division, Multiplication, Addition, Subtraction. It contains no brackets, powers, division, or multiplication so we’ll follow BODMAS and do the addition followed by the subtraction: This is erroneous.
Why is Goldbach’s conjecture so hard to prove?
It just can’t happen. But it doesn’t follow that you’ll find a proof, because the definition of primality is multiplicative, while Goldbach’s conjecture pertains to an additive property. So it might very well be that the conjecture happens to be true, but there is no rigorous way to prove it.
