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PMATH 351 Final Exam Definitions

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1. The uniform limit of a sequence of continuous functions is continuous (statement)

2. Completeness of $C_b(X)$

3. Weierstrass M-Test (statement)

4. Baire Category Theorem

5. Banach Contractive Mapping Theorem

6. Arzela-Ascoli Theorem

7. Weierstrass Approximation Theorem

8. Stone-Weierstrass (Lattice version) (statement)

9. Stone-Weierstrass (Subalgebra version)