Here is a list of the errors in Marker’s book I have found over the years which are not listed on his errata page http://homepages.math.uic.edu/~marker/mt-errors.html (from 2014!) by page/line.
9/3: m_R should be
n_R; in the next line, m_j should be m_R, and in the line above, n should be
n_R
19/5: x_a1 should read
x_1; the statement of part b) also seems false?
19/-10: missing space
after that
22/-15: say that D_n
is closed under permutation of variables (I think you need this)
24/10: it would be
helpful here to say explicitly that you require the function to be N to X and
not N to X/E (which you call “interpretable” later at 27/-2)
28/-13 and -11:
N needs to be subscripted with i_1 through i_n; last N^{s_0} shoudl be
N_{i_0}
29/Exercise 1.4.1:
Technically, one needs to handle the case S = empty set
separately!
46/-9: N should read |N|
47/1: abar in
N
51/-13: delete second
\neg
54/15: has no function
symbols
56/19: "elements of
poor man's bold N" should be "elements of regular N"
56/2nd half of page:
3^{n-m} should read 3^{n-m+1} multiple times until the end of the
proof
54/17 and 18: this s
does not have to be the same s as in line 16
60/-20 and -18:
Archimedean
60/-18: last w should
be x?
62/-10: s is a
bijection from U onto U
63/-17: why are there
no finite models, or models of size < |L|?
65/-18: psi_0, psi_1
65/-11: does not occur
in theta_s and set theta_{s+1}
67/8: also require
P(c_i)
68/-8: from Section
2.2
73/-17: By Lemma 3.1.2
74/-4: missing {}
76/7: psi (twice)
76/10 and 16: m is
used twice in different meanings
76/-13 b is missing
after each -h_i/m'_i
77/3: also ~ (h_0,m_0)
78/-9:
missing “if”
78/-1: script M should
be T
80/12: w_i should read
v_i, and v should read w, twice
82/-12: rightarrow
should be leftarrow
82/-11: rightarrow
should be leftrightarrow
86/-12: “then” is
unclear in this proof
86/-9: why X=Y here?
not clear
86/-6: why are there
such p and q? not clear
86/-4 through -1:
should be X intersect Y
88/-7: I \neq
intersection_{j in J} P_j
88/-3: missing space
after that
89/-12 and -8: n used
in two different meanings (also 90/9)
89/-3: K is a model of
ACF
90/1: xbar should be
vbar twice
90/8: closure of B
should be "closure of union of K_0 and B
90/15 and 16: abar
should be bbar twice
90/19: conjunction
should be disjunction
90/-13: stress that A
is any SET
92/1: is this really
the same abar?
93/4: “By Lemma
3.2.16” is unclear here
93/7: wbar should be
ybar
95/-10: a, b in F
96/11: a>0
96/-14: fraction field
of D
97/6: phi: F to F
97/15: Xbar
100/-3: missing
parentheses after \exists y
100/-1: By Lemma
3.3.24
101/9: add “in X” before
“}”
101/8: use f in place
of F
103/-9: f_n: A_n union
… union A_N to F
105/16: phi_p: G/p^nG
to Z/p^nZ
105/18: least positive
element 1
105/-7: M and N are
models of T
106/-10: x should be a
twice; also assume b in X
106/-6: need A
algebraically closed here
107/18: which n?
107/-10 and -4: abar
should be f(abar) twice
107/-1: cbar should be
vbar
108/-9: end of line
should read x <_1 y and y <_2 x
118/3: add "extending
f" at end of line
118/-5: g should read
g_i
119/-12 and -7: calN
is used twice in different meanings
120/14: Thus, the map
is continuous.
123/10: q used here
and again later, in different meaning
124/-11: add “in p”
before “}”
126/-5: e_0 should be
e_1
129/-18 through -12:
these lines can be cut?
130/-10: w should be
wbar
131/-18: + is not
great notation here
131/-4: 3i+2; i is
used in two meanings here and the next line
132/-13: phi(f|0)
137/11: l should
read let
137/14: bbar should
read b
137/-10: Th_B?
138/-13:
S^calM_{n-1}(A); \exists v (phi(v_1, …, v_{n_1},v)
139/1 and 14: be
consistent about countably vs. countable saturated
139/-8: calM_{alpha+1}
141/5: calN should
poo150/-r man’s bold N
141/7: has no
countable saturated model
141/-18: n=1???
141/-1: first |A|
should read A
142/-20:
calM_{lambda^+}
143/1: |\rm M_alpha|
143/-10: calM should
be calN
144/8: delete
parentheses
146/-3 and -2: n used
twice
147/3: vbar should be
abar
149: missing {}
149/-10: a^n should be
a^(n) (similarly 150/7 and 8)
150/3: of minimal
degree in X^(n)
150/-2: f used twice
151/7: missing {
152/21 and 23: mbar_0
is mbar
153: (M_0, N_0) should
read (N_0, M_0)
152/-10: delete line
154/9: need |M| = |N|
156/-9: \neg phi_i
158/8: this seems
wrong, you need their differences not divisible by p_i?
162/11 and 12: these
two lines seem not needed
163/-17 and -16:
tp(bbar/A) and tp(cbar/A) instead of tp(abar/A) and tp(bbar/A);
c_i > a instead of c_i < a
164/-10: Lemmas
166/-2: the calM_i are
a countable chain!
171/-5: delete space
after Orey
176/-12 and -8: X is
used twice
179/5: add “for all
phi”
181/14: tp(X)
171/Lemma 5.2.6: why
did you switch from Y,X to J,I?
182/-12: spell out
“in”
183/1: too many “if”
and “if and only if” to parse
184/13: move } to end
of line
184/19: I should be X
202/14: any countably
infinite
202/-10: Hint:
(Leftarrow)
209/-6 and -1,
210/5 and 8: n used in two different meanings
211/-16: delete
“transcendence” twice
218/1: phi is any
L_M-formula
220/19: add “for some
such psi”
220/-3: dotless jhat
222/-15 and 223/-4:
poor man’s bold M
222/-1: X is A-definable
223/16: I suggest
letting deg(abar)=1
324/12: -1 = …