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Mathematics, 03.01.2021 04:20 lopezhailey317

Show that: (a) n∪i=1 Ai is closed if all Ai the are;

b) ∩i∈∧ Ai

is closed if all the Ai are;

c) ∞∩i=1 ki

is not empty if the Ki are non empty closed intervals in R and

Ki ⊇ Ki+1 for all i ≥ 1. (Ai ⊆ Rm for all i).

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Show that: (a) n∪i=1 Ai is closed if all Ai the are;

b) ∩i∈∧ Ai

is closed i...
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