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Jul 28, 2017 at 11:13 comment added Niek de Kleijn That's too bad, do you think that arguments from that paper may be used to extend the functoriality result to a larger class of ``well-behaved" algebraic morphisms?
Jul 25, 2017 at 19:17 history edited DamienC CC BY-SA 3.0
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Jul 25, 2017 at 19:07 history edited DamienC CC BY-SA 3.0
added 113 characters in body
Jul 25, 2017 at 19:05 comment added DamienC wooops. Sorry. You are absolutely right. The meaning of the condition that is required in Theorem 7.1 is "étaleness" (in differential geometric terms, and if we were to talk about tangent bundles, this would mean local diffeomorphism). This means that our work with Michel only implies functoriality for isomorphisms of Lie algebroids :-( Sorry about that, I overlooked it when I answered.
Jul 19, 2017 at 10:45 comment added Niek de Kleijn I have (finally) managed to go through the article and I was left with one question. Namely in the first paper you mention the functionality in theorem 7.1 holds only for morphisms that induce an isomorphism $T\otimes_R L\simeq M$ , could you say something about what this condition means? It seems like it is quite restrictive. In the case that $T=R$ this forces $L\simeq M$! Does it mean we only have functoriality for pull-backs?
Jul 3, 2017 at 10:41 comment added Niek de Kleijn This sounds exactly like what I was looking for. It will take a little time to go through the article of course, but I am excited to read it! Thanks for the answer!
Jul 2, 2017 at 11:39 vote accept Niek de Kleijn
Jun 30, 2017 at 23:25 history answered DamienC CC BY-SA 3.0