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Feb 1 at 19:01 history edited cheshircat CC BY-SA 4.0
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Feb 1 at 5:20 comment added Kevin Carlson I think that result does say that forgetful functors for an appropriate notion of Lie algebroid over a fixed base have left adjoints, which is good news for their opposites to preserve limits; I think you’d be basically good to go if you could check that the reindexing functors preserve colimits, except that you probably don’t want to talk about Lie algebroids as actual vector bundles rather than in some more complete and cocomplete category as at the link
Feb 1 at 3:07 comment added LSpice Name of @DavidWhite's reference: Nuiten - Homotopical algebra for Lie algebroids.
Feb 1 at 3:04 comment added David White Does the second theorem on page 2 of this paper help at all? arxiv.org/abs/1712.03441v1 Maybe it's a simple case of what you're asking?
Feb 1 at 1:28 history asked cheshircat CC BY-SA 4.0