Timeline for Is the poset of all precompact group topologies on an abelian group $G$, order-isomorphic to $\operatorname{Sub}(\hat{G})$?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Apr 3, 2015 at 21:09 | comment | added | Minimus Heximus | ِAre precompact group topologies reflexive,that is, can Potrjagin duality be applied to them? | |
| Apr 3, 2015 at 14:00 | comment | added | Andreas Thom | @user47958: Because only the closure of G matters (and a map with dense image is an epimorphism). | |
| Mar 20, 2015 at 20:02 | comment | added | Minimus Heximus | A precompact group topology on a group $G$ is describe by an injective homomorphism $G\to K$ where $K$ is compact group. I do not know why do you use epimorphisms instead. | |
| Feb 27, 2015 at 11:22 | comment | added | Andreas Thom | The compactification $G \to K$ goes to $\hat K$, which is naturally embedded in $G$. | |
| Feb 27, 2015 at 10:38 | comment | added | Minimus Heximus | What is the order-isomorphism? | |
| Feb 15, 2015 at 21:09 | history | edited | Andreas Thom | CC BY-SA 3.0 |
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| Feb 15, 2015 at 19:58 | comment | added | Minimus Heximus | thanks. I will try to complete/expand your sketch of proof in coming days so I may understand/know the correct version of the claim. | |
| Feb 15, 2015 at 19:49 | history | answered | Andreas Thom | CC BY-SA 3.0 |