In Perelman’s second famous preprint, he said that another paper with the proof of Theorem 7.4 would be given, but it is still not available. There are two versions of Perelman’s Theorem 7.4. One is the strong version with only two conditions, which no proof is available except for Perelman’s “sketch”. The other is a weak version with an additional condition, which might be too weak to apply according to Kleiner & Lott. Actually, Kleiner-Lott and Cao-Zhu did not prove it, they circumvented it.
How would Perelman reply if he met some experts and they asked for the proof? Note that in April 2003, nobody could fully digest his first two articles. After his return, he posted his third paper devoted entirely to the Poincare Conjecture.
In Perelman’s second
In Perelman’s second famous preprint, he said that another paper with the proof of Theorem 7.4 would be given, but it is still not available. There are two versions of Perelman’s Theorem 7.4. One is the strong version with only two conditions, which no proof is available except for Perelman’s “sketch”. The other is a weak version with an additional condition, which might be too weak to apply according to Kleiner & Lott. Actually, Kleiner-Lott and Cao-Zhu did not prove it, they circumvented it.
How would Perelman reply if he met some experts and they asked for the proof? Note that in April 2003, nobody could fully digest his first two articles. After his return, he posted his third paper devoted entirely to the Poincare Conjecture.