challenge all maths aryabhatt explain the theory The Poincaré Conjecture
Answers
Answer:
Hi !
Well Poincare conjecture according to the knowledge that I have and as I learnt it is a topic in Topological mathematics concerned with hypothesised four dimensional spaces in which the coordinates systems collapse and then we've to consider a four dimensional unit sphere.
However, the four dimensional thing that Poincare proposed is I think was then solved by Perelman for which he might have got a Fields medal. I'm sorry I don't remember much.
But it was great learning The Poincare Conjecture just after the Hilbert spaces and elliptic curves
Also, just as a matter of fact, I think the conjecture was not only applicable to four dimensions it was only applicable to three dimensional spaces without vector notations in which the plane contained is considered as an infinitely spread loop and if in any legal transformation the loop can be brought down to be condensed into a single point anywhere in the three dimensional space then for sure that dimensional system must be of three dimensions.
I don't remember much now, cause it was long back that I studied this.
Well you're pretty smart and knowledgeable, I'm sorry but I can't obviously remember it all !
I hope this helps you and you're satisfied ! ｡◕‿◕｡
Answer:
Well Poincare conjecture according to the knowledge that I have and as I learnt it is a topic in Topological mathematics concerned with hypothesised four dimensional spaces in which the coordinates systems collapse and then we've to consider a four dimensional unit sphere.
However, the four dimensional thing that Poincare proposed is I think was then solved by Perelman for which he might have got a Fields medal. I'm sorry I don't remember much.
But it was great learning The Poincare Conjecture just after the Hilbert spaces and elliptic curves
Also, just as a matter of fact, I think the conjecture was not only applicable to four dimensions it was only applicable to three dimensional spaces without vector notations in which the plane contained is considered as an infinitely spread loop and if in any legal transformation the loop can be brought down to be condensed into a single point anywhere in the three dimensional space then for sure that dimensional system must be of three dimensions.
I don't remember much now, cause it was long back that I studied this.
Well you're pretty smart and knowledgeable, I'm sorry but I can't obviously remember it all !