Interactive Real Analysis
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Real Analysis
1. Sets and Relations
2. Infinity and Induction
3. Sequences of Numbers
4. Series of Numbers
5. Topology
5.1. Open and Closed Sets
5.2. Compact and Perfect Sets
5.3. Connected and Disconnected Sets
6. Limits, Continuity, and Differentiation
7. The Integral
8. Sequences of Functions
9. Historical Tidbits
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Definition 5.2.9: Perfect Set
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A set
S
is perfect if it is closed and every point of
S
is an accumulation point of
S
.
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