\(
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\require{physics}
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\)
Math and science::Analysis
Exercise: nested sequences of sets
The following statement is [true or false?]
If \( F_1 \supseteq F_2 \supseteq F_3 \supseteq F_4 \supseteq ... \) is a
nested sequence of nonempty closed sets, then the intersection \(
\bigcap_{n=1}^{\infty} F_n \neq \emptyset \).
