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May 29, 2017 at 19:35 comment added Keith Kearnes Great observation! This seems like a potentially achievable project.
May 29, 2017 at 19:19 comment added Emil Jeřábek Hmm, actually, there are: there are even continuum many nonisomorphic continuous t-norms on $[0,1]$, which I believe extend to the whole R. Now, these are classified by the Mostert-Shields theorem; is a similar classification possible for all continuous associative operations on R?
May 29, 2017 at 19:15 comment added Emil Jeřábek Are there infinitely many nonisomorphic associative continuous operations on R?
May 29, 2017 at 18:48 history edited Keith Kearnes CC BY-SA 3.0
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May 29, 2017 at 13:23 history edited Keith Kearnes CC BY-SA 3.0
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May 29, 2017 at 12:50 history edited Keith Kearnes CC BY-SA 3.0
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May 29, 2017 at 12:45 history edited Keith Kearnes CC BY-SA 3.0
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May 29, 2017 at 12:37 history edited Keith Kearnes CC BY-SA 3.0
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May 29, 2017 at 12:28 history edited Keith Kearnes CC BY-SA 3.0
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May 29, 2017 at 12:22 history answered Keith Kearnes CC BY-SA 3.0