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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 αcontinuous function on a compact set is uniformly αcontinuous 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.
 Spring '08
 Staff
 Math

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