CORRECTIONS TO A COMPANION
T.W.K
¨
ORNER
This first correction page is based on a long and insightful lists from
Bob Burckel and Eric Løw.
I should also like to thank Marit Sand
stad, Norton Starr, WanTeh Chang,Silas Davis and Daniel James for
contributions.
Page 18
In Theorem 1.42 we do not need the assumption
K
≥
0.
Page 45
[A clarification rather than a correction] In Exercise 4.5,
(ii), line 2 ‘positive’ for us means ‘nonnegative’.
Page 47
In Exercise 4.11 (ii) replace + by
−
to get
bardbl
x
+
y
bardbl
2
− bardbl
x
−
y
bardbl
2
.
Page 49
In Exercise 4.17 (i) replace ‘closed’ by ‘bounded’.
Page 52
In Exercise 4.27 (iii) replace the self referential (iii) by (ii).
Page 52
In Exercise 4.27 (iv)
intersectiontext
∞
j
=1
F
j
should be
uniontext
∞
j
=1
F
j
.
Page 55
Line 3, replace
f
(
x
) by
f
(
y
)
Page 55
In Exercise 4.36 replace ‘Lemma 4.29’ by ‘Exercise 4.29’.
Page 69
In Exercise 4.79 (iii) next to last line, replace ‘to to’ by ‘to’.
Page 84
First two lines of proof. Replace
X
k
by
E
k
and
X
by
E
.
Page 85
In line 6, Theorem 5.26 should be Lemma 5.26.
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 Fall '08
 Groah
 Math, Madrid Metro, Metropolitana di Napoli, Osaka Municipal Subway

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