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For a subset E of R, the closure of E, denoted E, is the union of E and its accumulation points. (a) Show that the closure of any set E R is a closed...

 For a subset E of R, the closure of E, denoted E, is the union of E and its accumulation points.


(a) Show that the closure of any set E ⊆ R is a closed set.


(b) Show that E is the smallest closed set that contains E.

Top Answer

Part (i) can be solved using the fact that a set is closed if and only if it's complement... View the full answer

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