Timeline for Can one extend a morphism of commutative triangles to a morphism of octahedral diagrams?
Current License: CC BY-SA 2.5
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| May 14, 2010 at 21:59 | history | edited | S. Carnahan♦ | CC BY-SA 2.5 |
Make quotients go the right direction.
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| May 13, 2010 at 19:35 | comment | added | Mikhail Bondarko | Thank you for the reference; it's interesting! Yet I doubt that 'gluing' and 'localization' has much to do with my question. These matters usually arise when one wants to relate distinct triangulated categories. Yet in my question I have a single triangulated category. The proof of my 'conjecture' seems to be quite easy. Having a morphism of 'commutative faces', one can extend it to a morphism of three neighbouring 'triangulated faces'. Thus one obtains morphisms of each of six vertices! And it seems that one really gets a morphism of octahedra this way. | |
| May 13, 2010 at 19:18 | comment | added | Mikhail Bondarko | The 'upper vertex' is $Y$. | |
| May 13, 2010 at 18:46 | history | answered | S. Carnahan♦ | CC BY-SA 2.5 |