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Stream: learning: questions

Topic: (co)limits of right adjoints

James Deikun (Oct 24 2024 at 05:05):

Let $\mathbf{RAdj}(\mathcal{C,D})$ be the category of right adjoint functors from $\mathcal C$ to $\mathcal D$. In the full functor category colimits and limits are computed pointwise, but what happens in this full subcategory? In particular I don't think right adjoints are closed under pointwise colimits.