Timeline for is the preorder of locally closed immersions complete?
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Apr 15, 2010 at 15:21 | comment | added | Joël Riou | Well, it follows from EGA I 9.5.10 : Let Y be a subscheme of a scheme X, such that the canonical injection i:Y->X be a quasi-compact morphism. Then, there exists a smallest closed subscheme Z of X containing Y ; as a set, Z is the closure of Y ; and Y identifies to an open subscheme of Z. This precisely gives the factorisation Y -> Z -> X of Y -> X as an open immersion followed by a closed immersion. | |
| Apr 15, 2010 at 14:50 | comment | added | Martin Brandenburg | alright :). can someone give a reference for the desccription of locally closed immersions? so far, I know only the other direction. | |
| Apr 15, 2010 at 14:49 | vote | accept | Martin Brandenburg | ||
| Apr 15, 2010 at 14:49 | history | bounty ended | Martin Brandenburg | ||
| Apr 15, 2010 at 12:25 | history | answered | Joël Riou | CC BY-SA 2.5 |