# Tag Info

## Hot answers tagged faq

8

In 2013 John Pardon solved the Hilbert-Smith conjecture for group actions on 3-manifolds. Lemma 2.17 of the paper was based on the answer to this mathoverflow question. I was quite surprised to receive an e-mail a few months after answering the question with a preprint resolving the conjecture, especially since I did not know the identity of the MO user (at ...

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An unpublished open problem posed by Adam Chalcraft, Does every polyomino tile $\mathbb R^n$ for some $n$?, received considerable attention when I posted it here on MO. (Of all the questions that I have posed on MO that aren't soft questions, it has received the most upvotes—69 as of this writing.) It was solved by Vytautas Gruslys, Imre Leader, and Ta ...

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Quoting Oscar Cunningham's answer to an MO question asking for decision problems that are not known to be decidable: In Conway's Game of Life, the problem of deciding whether a given pattern with finitely many live cells is a Garden of Eden (i.e. whether it lacks a predecessor). Added 2019 December 3: Having learnt about the problem from this post, Ville ...

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This paper addresses and partially solves a question posed by Matthew Kahle, whose MO question they explicitly cite: chromatic number of the hyperbolic plane. DeCorte, Evan, and Konstantin Golubev. "Lower bounds for the measurable chromatic number of the hyperbolic plane." Discrete & Computational Geometry 62, no. 2 (2019): 481-496. Journal link. "...

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Another candidate for this thread of Mathoverflow success stories: my recent answer to Finding the nearest matrix with real eigenvalues. From the answer: We started our research by thinking about this problem, but then we were happily surprised to find out that the technique can be applied also to a harder problem that had already been studied in the ...

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Here are two kind-of dual results that have now been proved after I asked them here: The first arose from Induced map on path manifolds: is it a submersion?, which got an answer in very general terms involving generalised smooth spaces in this preprint: Andrew Stacey, Yet More Smooth Mapping Spaces and Their Smoothly Local Properties, arXiv:1301.5493. and ...

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