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Reference.org
Cantor's intersection theorem
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<p>Cantor's intersection theorem refers to two closely related theorems in <a href="/facts/General_topology/ezC7B0yP">general topology</a> and <a href="/facts/Real_analysis/12WjlXCW">real analysis</a>, named after <a href="/facts/Georg_Cantor/k5v1DvW4">Georg Cantor</a>, about intersections of decreasing nested <a href="/facts/Sequence/gV2S4uqp">sequences</a> of non-empty compact sets. </p>