Timeline for Isomorphic functors and their images [closed]
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Nov 9, 2017 at 9:40 | history | closed |
Andreas Blass abx Alex Degtyarev R.P. Stefan Kohl♦ |
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| Nov 9, 2017 at 6:39 | answer | added | David Roberts♦ | timeline score: 1 | |
| Nov 9, 2017 at 6:17 | comment | added | მამუკა ჯიბლაძე | It would make much more sense then to state this specific instance in the question and then ask whether it can be made abstract nonsense, rather than starting with abstract nonsense from which the original motivation cannot be guessed at all. | |
| Nov 9, 2017 at 1:40 | history | edited | clanijos | CC BY-SA 3.0 |
added 91 characters in body
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| Nov 9, 2017 at 1:30 | review | Close votes | |||
| Nov 9, 2017 at 9:40 | |||||
| Nov 9, 2017 at 1:21 | comment | added | clanijos | Hochster in his paper "Prime ideal structure in commutative rings", proves that Spec(_) is 'invertible' in the sense I've stated in the original post on the full subcategory of the category of spectral spaces consisting of $T_1$ spectral spaces. I'm interested in recovering rings from objects in a full subcategory of that subcategory. | |
| Nov 9, 2017 at 1:14 | comment | added | clanijos | Yes, I did mean $G(\mathscr{B})\cong\mathscr{A}$. Thank you for the counterexample, it is much appreciated. | |
| Nov 9, 2017 at 1:06 | comment | added | Qiaochu Yuan | The question does not make any sense as written; $b = F(a)$ is an object of $B$ so we can't apply $F$ to it. If the intended question was $G(b) \cong a$, there is already no reason for this to be true when $A, B, C$ are discrete categories (so, sets); take $G$ to be the inclusion of a point and $a$ to be anything outside the image of $G$. What is your motivation? | |
| Nov 9, 2017 at 0:56 | history | edited | Chris Godsil | CC BY-SA 3.0 |
typo -1
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| Nov 9, 2017 at 0:17 | review | First posts | |||
| Nov 9, 2017 at 0:56 | |||||
| Nov 9, 2017 at 0:16 | history | asked | clanijos | CC BY-SA 3.0 |