Examples of 'poincaré conjecture' in a sentence
Meaning of "poincaré conjecture"
poincaré conjecture - This phrase refers to a famous mathematical conjecture proposed by Henri Poincaré, which was proven by Grigori Perelman in 2003
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- The theorem that the only simply connected, closed 3-dimensional manifold is a sphere.
How to use "poincaré conjecture" in a sentence
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poincaré conjecture
Poincaré conjecture controversy.
This consequently solved in the affirmative the Poincaré conjecture.
The Poincaré conjecture is that this is also true in one higher dimension.
Topology also includes the now solved Poincaré conjecture.
This shows the Poincaré conjecture can not be stated in homology terms alone.
The notion of simple connectedness is also a crucial condition in the Poincaré conjecture.
The Poincaré conjecture is the only former member of the list of unsolved mathematical problems.
Here is a summary of the status of the generalized Poincaré conjecture in various settings.
The Poincaré conjecture states that this is also true in dimension 3.
Bing also described some of the pitfalls in trying to prove the Poincaré conjecture.
He proved the Poincaré conjecture.
One of his results is a proof of the four-dimensional Poincaré conjecture.
This easily implies the Poincaré conjecture in the case of positive Ricci curvature.
Such interesting questions arise in the solution of the Poincaré conjecture via Ricci flow.
The Generalized Poincaré conjecture is true topologically, but false smoothly in some dimensions.
See also
An important open mathematics problem solved in the early 21st century is the Poincaré conjecture.
Solution of the Poincaré conjecture.
TrueThe Poincaré conjecture, in search of the shape of the universe.
Henri Poincaré discovers the Poincaré homology sphere, leading him to formulate the Poincaré conjecture.
Currently, only the Poincaré conjecture has been proven.
For a start, it almost immediately proves the Generalized Poincaré Conjecture.
Stephen Smale proves the Poincaré conjecture for all dimensions greater than or equal to 5.
He collaborated with Gang Tian in verifying Grigori Perelman 's proof of the Poincaré conjecture.
Stephen Smale proves the Poincaré conjecture in dimensions greater than 4.
The Poincaré conjecture is one of the seven Millennium Prize Problems established by CMI in 2000.
For the generalized Poincaré conjecture see also [ a1 ].
Whitehead spent much of the 1930s looking for a proof of the Poincaré conjecture.
To this day, the Poincaré Conjecture remains the only problem solved.
In 2002 Dunwoody put forward a proposed proof of the Poincaré conjecture.
Well, the poincaré conjecture took how long to solve?
In 1986, he was awarded a Fields Medal for his work on the Poincaré conjecture.
The Poincaré conjecture was solved by Grigori Perelman, but he declined the award in 2010.
In 1982 Michael Freedman proved the Poincaré conjecture in four dimension.
Morgan, “ Recent Progress on the Poincaré Conjecture and the Classification of 3 -.
In 1982 Michael Freedman proved the Poincaré conjecture in four dimensions.
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Examples of using Poincaré
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Poincaré duality is extended to the relative case
This result is summarized by the Poincaré lemma
Poincaré believed that arithmetic is a synthetic science
Examples of using Conjecture
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Maybe it would just be conjecture presented as fact
No conjecture with anyone outside this room
There is too much conjecture in this document
