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The judgment of whether a question is considered on-topic or not for MO is made by individual MO users. If a question is closed but other users disagree with the reasons for closure, the latter may cast votes to reopen. But there is no blanket answer to your first question. The individuals who voted to close may or may not give their explicit reasons. You ...


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Mohammad Ghomi answered the question Shortest closed curve to inspect a sphere, in a paper, Shortest closed curve to inspect a sphere, posted to the arXiv (https://arxiv.org/abs/2010.15204), whose PDF is available here, verifying the conjecture that the shortest curve is four consecutive semicircles each of length $\pi$ for a unit sphere.


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It sounds like a natural demand. I'm not aware of its existence at the moment. Journals (not colleagues) have this role of reviewing, but the idea (public posting and reviewing) would be an interesting alternative. There is a practical difficulty. From my observation so far, the majority the posts appearing and which are (explicitly or in disguise) reviewing ...


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