Timeline for Is Furstenberg's topology useful?
Current License: CC BY-SA 4.0
13 events
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| Oct 20 at 23:51 | history | edited | LSpice | CC BY-SA 4.0 |
Fürstenberg -> Furstenberg (https://en.wikipedia.org/wiki/Hillel_Furstenberg), while this is on the front page
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| Aug 31, 2021 at 13:27 | comment | added | YCor | A standard and more accurate name is "profinite topology". | |
| Aug 31, 2021 at 12:19 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
http -> https (the question was bumped anyway)
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Feb 6, 2014 at 12:34 | history | edited | user9072 |
edited tags
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| Oct 19, 2010 at 11:15 | answer | added | Greg Kuperberg | timeline score: 10 | |
| Oct 18, 2010 at 10:35 | history | edited | Charles Matthews | CC BY-SA 2.5 |
downcase
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| Oct 18, 2010 at 8:03 | history | made wiki | Post Made Community Wiki by S. Carnahan♦ | ||
| Oct 18, 2010 at 7:59 | answer | added | S. Carnahan♦ | timeline score: 24 | |
| Oct 18, 2010 at 7:43 | comment | added | Christian Blatter | Here is a version of Fuerstenberg's proof that does not mention topology: We argue about periodic subsets of $\mathbb Z$. The set of all numbers prime to a given $p$ is periodic and the intersection of two periodic sets is periodic. If there were only finitely many primes the set $\{-1,1\}$ would be periodic. | |
| Oct 18, 2010 at 7:07 | comment | added | Chandan Singh Dalawat | As BCnrd pointed out in his comments to another MO question, the topology is the one inherited from $\hat{\mathbf Z}$. | |
| Oct 18, 2010 at 6:42 | comment | added | Gerhard Paseman | For the particular topology on the integers, it seems unlikely, especially as most (non-topological) results about the integers assume little or nothing about that topology. I can imagine that an infinite product or some topological modification (something other than compactification) might produce interesting results. Gerhard "Ask Me About System Design" Paseman, 2010.10.17 | |
| Oct 18, 2010 at 6:32 | history | asked | I. J. Kennedy | CC BY-SA 2.5 |