Timeline for Exactness of a term after taking Pontryagin dual: a step in the proof of Poitou-Tate duality
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Dec 1, 2021 at 14:47 | comment | added | Chris Wuthrich | It is true for finite $S$ and then take the limit. See the Theorem 1.1.8. mentioned above which states Pontryagin duality with all details. | |
| Dec 1, 2021 at 9:42 | history | edited | Mugenen | CC BY-SA 4.0 |
added 71 characters in body
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| Dec 1, 2021 at 9:41 | comment | added | Mugenen | @ChrisWuthrich $M$ is finite, but $S$ is not assumed to be finite. | |
| Dec 1, 2021 at 9:21 | comment | added | Chris Wuthrich | Is $M$ finite? Is $S$ finite? If so then all groups in these sequences are finite and Pontyagin duality is exact. Why it does not matter for these cohomology groups, if we take $\mathbb{Q}/\mathbb{Z}$ with the discrete topology, look at the remark after Theorem 1.1.8 in "Cohomology of number fields". | |
| Dec 1, 2021 at 4:33 | history | edited | Mugenen | CC BY-SA 4.0 |
corrected some mistakes in notations
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| S Nov 30, 2021 at 15:03 | review | First questions | |||
| Nov 30, 2021 at 15:13 | |||||
| S Nov 30, 2021 at 15:03 | history | asked | Mugenen | CC BY-SA 4.0 |