204ListofTheorems2009 - 2. Uniqueness of limits of...

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Econ 204–2009 List of Theorems for the Final Exam You are responsible for the statements of all theorems stated in the text or in class. Understanding the proofs of theorems may help you to answer some questions, so you are advised to try to understand the key ideas behind proofs. In addition, you will be asked to state and prove one of the following theorems: 1. The supremum property (Theorem 1.6.8)
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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.

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