"saying the truth"? They said that the article distorted their comments.
All people in the story admited Perelman's contribution to solve the problem. But the contravorsy was caused by his strange behavior: he did not submit his manuscripts for publication as he had done before. Note that no math journal would publish a "sketch".
en.wikipedia.com says:"Perelman's outline can indeed be expanded into a complete proof..."
An outline, or in Perelman's own word "sketch", is not a proof.
Moreover, in his second famous preprint, Perelman 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 so called 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 use according to Kleiner & Lott.
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"saying the truth"? They said that the article distorted their comments. All people in the story admited Perelman's contribution to solve the problem. But the contravorsy was caused by his strange behavior: he did not submit his manuscripts for publication as he had done before. Note that no math journal would publish a "sketch". en.wikipedia.com says:"Perelman's outline can indeed be expanded into a complete proof ..."
An outline, or in Perelman's own word "sketch", is not a proof.
Moreover, in his second famous preprint, Perelman 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 so called 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 use according to Kleiner & Lott.