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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5.3. Connected and Disconnected Sets
Example 5.3.5(d):
Find a totally disconnected subset of the interval [0, 1] of length 0 (different from the Cantor set), and another one of length 1.
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