Hw4 - closed bounded intervals and therefore compact The proof that an α-continuous function on a compact set is uniformly α-continuous is

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Math 318 HW #4 Due 5:00 PM Thursday, February 24 Reading: Abbott § Problems: 1. Abbott Exercise 7.4.6. 2. Abbott Exercise 7.4.7 3. Abbott Exercise 7.6.11. 4. Abbott Exercise 7.6.13. You should assume the result of Exercise 7.6.12, which is straight- forward: since there are finitely many G n , the set K = [ a,b ] \ S N n =1 G n is a finite union of
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Unformatted text preview: closed, bounded intervals and, therefore, compact. The proof that an α-continuous function on a compact set is uniformly α-continuous is similar to the proof that a continuous function on a compact set is uniformly continuous (see also Exercise 7.6.9). 5. Wilcox & Myers Exercise 9.3 (p. 26). 1...
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This note was uploaded on 08/20/2011 for the course MATH 318 taught by Professor Staff during the Spring '08 term at Haverford.

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