Answer to Question #282266 in Differential Geometry | Topology for Natasha

Question #282266

DG. Let X be the universal space. Which set is equal to "\\mathrm{Cl}(X) \\cap \\mathrm{Cl}(X \\backslash A) ?(\\mathrm{Fr}" stands for the boundary of a set, "\\mathrm{Cl}" means the closure of a set).


1
Expert's answer
2021-12-29T09:27:16-0500

Solution:

X is a universal set. So, CI(X) = X.

Then,

"CI(X)\\cap CI(X \/ A)\n\\\\=X \\cap CI(X \/ A)\n\\\\= CI(X \/ A)"


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