Timeline for Explicit isomorphism $\pi_{n+1}(\mathbb{RP}^n) \cong \pi_1(\mathbb{RP}^{n-1})$
Current License: CC BY-SA 4.0
7 events
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May 13, 2020 at 10:27 | history | edited | CNS709 | CC BY-SA 4.0 |
added 667 characters in body
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Oct 17, 2019 at 8:21 | answer | added | user51223 | timeline score: 21 | |
Oct 16, 2019 at 21:15 | review | Close votes | |||
Oct 17, 2019 at 13:36 | |||||
Oct 16, 2019 at 21:03 | comment | added | abx | Oh, I see. You mean that they happen to be the same group, and you ask for a natural explanation. I didn't get that from your post. | |
Oct 16, 2019 at 21:00 | comment | added | CNS709 | @abx Why? $\pi_{n+1}(\mathbb{S}^n) \cong \mathbb{Z}$ if $n = 2$, $\mathbb{Z}_2$ otherwise; $\pi_1(\mathbb{RP^{n-1}}) \cong \mathbb{Z}$ if $n-1=1$, $\mathbb{Z}_2$ otherwise. Am I wrong? | |
Oct 16, 2019 at 20:55 | comment | added | abx | Where did you see that in Wikipedia? This is completely false. | |
Oct 16, 2019 at 20:47 | history | asked | CNS709 | CC BY-SA 4.0 |