Solving of the Poincare' Conjecture

vincentm
Messages
322
Reaction score
3
Ok first i'd like to note that I'm not good at mathematics and have a vague understanding of the conjecture. What i'd like to know though is what comes now that this has been solved by Perelman? What implications does this have?
 
Mathematics news on Phys.org
It is hopeless in a few words.

Read the "Shape of Space". You don't need any more than high school math and by its end you will an intuitive idea of what the conjecture is about. (Do all the problems too!)
 
Last edited:

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'Useless continued fraction for 1'

I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
View full post »

Similar threads

I Questions regarding Kurepa's Conjecture
Replies
1
Views
2K
I Rewriting the Toeplitz Conjecture
Replies
7
Views
2K
I Degenerate Triangles: Questions & Poincaré Conjecture
Replies
2
Views
1K
I Monumental Proof Settles Geometric Langlands Conjecture
Replies
1
Views
2K
Is the Collatz Conjecture Finally Close to a Proof?
Replies
6
Views
3K
MHB Could there be an error in the proof of the Poincare conjecture?
Replies
8
Views
3K
B Bunkbed Conjecture Debunked?
Replies
0
Views
2K
A The abc conjecture and Virasoro algebra
Replies
1
Views
2K
Perelman, Poincare Conjecture solved now?
Replies
6
Views
5K
Solved Poincaré Conjecture: Find Perelman's Proof Here
Replies
5
Views
3K

Hot Threads

Recent Insights

Back
Top