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K-good trees and K-compactness of colimits over K-small downwards-closed subposets (500 poin...

Let me add a remark on a subtle point which doesn't seem to be addressed in Todd's answer. (I'm sorry I'm digging up a decade-old post!) We wanted to show that, given a $\kappa$-good $S$-tree $D:A \to …
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