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Math and science::Analysis

Perfect Sets

The concept of a perfect set tries to generalize the idea of a closed interval whose end points [what?].

Perfect sets

A set \( P \subseteq \mathbb{R} \) is perfect iff [...].

The following theorem highlights the importance of perfect sets. (Abbott actually introduces this theorem in order to motivate the concept of perfect sets. See the reverse side for more details.)

A nonempty perfect set is [...].