Timeline for Weak descent and effective equivalence relations
Current License: CC BY-SA 4.0
9 events
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Jul 29, 2021 at 0:04 | vote | accept | Emilio Minichiello | ||
Jul 29, 2021 at 0:04 | comment | added | Emilio Minichiello | Ah, perfect! Thank you so much! | |
Jul 28, 2021 at 17:31 | comment | added | Simon Henry | I've added a short discusion on the fact that this map of span is cartesian, it actually only use universaility of coproduct. Re. your first comment I just mean that as both R and $X \times_E X$ are subobject of $X \times X$ and the map between them is an inclusion of subobjects, and hence a monomorphism (more formally, I'm using that if $f\circ g$ is a monomorphisms, then $g$ also is). | |
Jul 28, 2021 at 17:14 | history | edited | Simon Henry | CC BY-SA 4.0 |
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Jul 28, 2021 at 15:44 | comment | added | Emilio Minichiello | Could you also say a bit more on how disjoint and universal coproducts implies the map of spans in the lemma is cartesian? | |
Jul 28, 2021 at 14:40 | comment | added | Emilio Minichiello | This is a wonderful answer, thank you! Before I accept it, I have a question. Why at the end were you able to conclude that the morphism was a mono? | |
Jul 27, 2021 at 19:53 | history | edited | D.-C. Cisinski | CC BY-SA 4.0 |
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Jul 27, 2021 at 19:44 | history | edited | Simon Henry | CC BY-SA 4.0 |
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Jul 27, 2021 at 19:31 | history | answered | Simon Henry | CC BY-SA 4.0 |