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Nov 10, 2009 at 0:10 comment added alekzander I keep dropping the shifts on accident. I agree I was off by one.
Nov 9, 2009 at 23:16 comment added Greg Stevenson One can prove most of these basic sort of facts without needing the octahedral axiom. Using an argument like you suggest one can show that any monomorphism or epimorphism in a triangulated category splits which would also do the trick here.
Nov 9, 2009 at 22:55 history answered Ben Webster CC BY-SA 2.5