I want to prove this fact that if X is a topological space which is covered by a family of open subsets {U_i} than dimX=supdimU_i One direction I can see that the RHS is less than or equal to the that of LHS...but the other direction is I have not been able to prove..any help is appreciated
2026-03-25 15:49:51.1774453791
Dimension of a topological space
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