l know that K functor is continous with respect to direct limit, how about inverse limit ？does inverse limit exist in general in the caegory of topological space(or C star algebra). is there a textbook giving a proof or a counterexample？and how about homology and homotopy functor, are they continous？
2026-03-24 20:38:04.1774384684
is K theory functor continous with respect to inverse limit?
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