Adjoint equivalences preserve colimits #454
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I've realised that I've misunderstood something here. This module is not preserving limits, but preserving the diagram of limits. Not sure how I want to proceed (but it explains why I kept getting things backwards) |
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I feel it should be possible to show a weaker version of this, that if
C -| DthenRpreserves limits andLpreserves colimits. c.f. https://ncatlab.org/nlab/show/adjoints+preserve+(co-)limits (which would justify the feeling of the author ofCategories.Category.Finitethat the right adjoint is enough there)