Timeline for The second stable homotopy group
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 21, 2023 at 17:18 | comment | added | Tom Goodwillie | @Fernando Muro of course, please do. | |
| Mar 21, 2023 at 16:33 | vote | accept | Leo | ||
| Mar 21, 2023 at 14:30 | comment | added | Nicholas Kuhn | Note that the splitting isn't natural, even when restricted to spaces $X$ of the form $K(A,1)$ with $A$ a $\mathbb Z/2$ vector space. | |
| Mar 21, 2023 at 14:08 | comment | added | Fernando Muro | @TomGoodwillie I hope you don't mind me adding a paragraph following your hint. | |
| Mar 21, 2023 at 14:07 | history | edited | Fernando Muro | CC BY-SA 4.0 |
incorporate Tom Goodwillie's hint
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| Mar 21, 2023 at 13:46 | comment | added | Fernando Muro | @TomGoodwillie you're right. In a previous version I was using $K(H_1(X,\mathbb{Z}),1)$ instead of $K(H_1(X,\mathbb{Z}/2),1)$ so I needed the general computation but when reducing mod 2 it's unnecessary. | |
| Mar 21, 2023 at 10:15 | comment | added | Tom Goodwillie | I enjoyed the question, too, and the answer. Let me point out a further simplification: you do not need the Brown-Loday reference if you observe that $\pi_2^S(K(A,1))$ is a $\mathbb Z/2$-vector space whenever $A$ is a $\mathbb Z/2$-vector space. | |
| Mar 21, 2023 at 9:38 | comment | added | Fernando Muro | @DaveBenson thx! Fixed. | |
| Mar 21, 2023 at 9:38 | history | edited | Fernando Muro | CC BY-SA 4.0 |
added 112 characters in body
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| Mar 21, 2023 at 9:15 | comment | added | Dave Benson | What is your $A$? | |
| Mar 21, 2023 at 8:52 | comment | added | Fernando Muro | @user43326 what do you find missing? I can bring it back since old versions are kept. | |
| Mar 21, 2023 at 8:05 | comment | added | user43326 | After your edition, some crucial information that was in original version is missing so that it is impossible to follow the proof... | |
| Mar 20, 2023 at 22:37 | history | edited | Fernando Muro | CC BY-SA 4.0 |
deleted 456 characters in body
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| Mar 20, 2023 at 17:52 | history | edited | Fernando Muro | CC BY-SA 4.0 |
added 64 characters in body
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| Mar 20, 2023 at 17:43 | history | answered | Fernando Muro | CC BY-SA 4.0 |