In the category of smooth real manifolds, do all small colimits exist? More generallyIn other words, is this category small-completesmall-cocomplete? I can see that computing push-outs in the category of topological spaces of smooth manifolds need not no be manifolds, but this is not a proof.
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Colimits in the category of smooth manifoldsIn the category of smooth real manifolds, do all small colimits exist? More generally, is this category small-complete? I can see that computing push-outs in the category of topological spaces of smooth manifolds need not no be manifolds, but this is not a proof.
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