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Unformatted text preview: 2. Uniqueness of limits of sequences in metric spaces (Theorem 2.2.3). 3. The Contraction Mapping Theorem 2.7.16. 4. Every closed subset of a compact metric space is compact (Theorem 2.8.14) 5. Every compact subset of a metric space is closed (Theorem 2.8.15) 6. Two vector spaces X and Y over the same Feld are isomorphic if and only if dim X = dim Y (Theorem 3.3.3). 1...
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This note was uploaded on 10/04/2010 for the course ECON 204 taught by Professor Anderson during the Summer '08 term at University of California, Berkeley.
- Summer '08