To be specific, my question is as follows:
Question: Let X be an inverse limit of compact metric spaces (X_i, d_i), then does it hold
dim(X, d) \leq sup_i {dim (X_i, d_i)} for some compatible metric d on X?
To be specific, my question is as follows:
Question: Let X be an inverse limit of compact metric spaces (X_i, d_i), then does it hold
dim(X, d) \leq sup_i {dim (X_i, d_i)} for some compatible metric d on X?