Timeline for How to classify continuous/differentiable maps from $T^2$ to $U(N)$?
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
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| Aug 21, 2023 at 16:59 | comment | added | Denis T | In addition to Neil's answer: also there was a series of papers about "torus homotopy groups/sets" in late 40s by Ralph Fox; you can "universally" compute them for any space if you already know usual homotopy groups with action of fundamental group. | |
| Aug 21, 2023 at 16:08 | history | edited | gmvh | CC BY-SA 4.0 |
Added spacing before punctuation (question was bumped already)
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| Aug 21, 2023 at 16:01 | history | edited | Glorfindel | CC BY-SA 4.0 |
broken link fixed, cf. https://meta.mathoverflow.net/q/5301/70594
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| Mar 15, 2014 at 9:24 | vote | accept | Jia Yiyang | ||
| Mar 15, 2014 at 8:14 | answer | added | Neil Strickland | timeline score: 8 | |
| Mar 15, 2014 at 6:51 | history | edited | Jia Yiyang | CC BY-SA 3.0 |
added 16 characters in body
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| Mar 15, 2014 at 6:50 | comment | added | Jia Yiyang | @AlexDegtyarev: I suppose up to homotopy. As for what kind of maps, I thought "continuous maps/diffentiable maps" was enough information, because I (maybe naively) had in mind that all continuous maps from $S^1$ to $S^1$ are completely classified up to homotopy by winding number. I'm expecting something similar or perhaps weaker. | |
| Mar 15, 2014 at 5:50 | comment | added | Alex Degtyarev | Classification up to what (homotopy, homeomorphism, ...)? What kind of maps (e.g., are they required to be group homomorphisms)? | |
| Mar 15, 2014 at 5:47 | review | First posts | |||
| Mar 15, 2014 at 6:59 | |||||
| Mar 15, 2014 at 5:30 | history | asked | Jia Yiyang | CC BY-SA 3.0 |