The Cabal Seminar 4 Volume Hardback Set: Volumes I–IV: Lecture Notes in Logic
Editat de Alexander S. Kechris, Benedikt Löwe, John R. Steelen Limba Engleză Quantity pack – 11 noi 2020
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Specificații
ISBN-13: 9781108920223
ISBN-10: 1108920225
Pagini: 1875
Ilustrații: 34 b/w illus. 2 tables
Dimensiuni: 155 x 230 x 130 mm
Greutate: 3.13 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Lecture Notes in Logic
Locul publicării:Cambridge, United Kingdom
ISBN-10: 1108920225
Pagini: 1875
Ilustrații: 34 b/w illus. 2 tables
Dimensiuni: 155 x 230 x 130 mm
Greutate: 3.13 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Lecture Notes in Logic
Locul publicării:Cambridge, United Kingdom
Cuprins
Volume
I:
Part
I.
Games
and
Scales:
Introduction
to
Part
I;
1.
Notes
on
the
theory
of
scales;
2.
Propagation
of
the
scale
property
using
games;
3.
Scales
on
$\sum_1^1$-sets;
4.
Inductive
scales
on
inductive
sets;
5.
The
extent
of
scales
in
$\mathbf{L}(\mathbb{R})$;
6.
The
largest
countable
this,
that,
and
the
other;
7.
Scales
in
$\mathbf{L}(\mathbb{R})$;
8.
Scales
in
$\mathbf{K}(\mathbb{R})$;
9.
The
real
game
quantifier
propagates
scales;
10.
Long
games;
11.
The
length-$\omega_1$
open
game
quantifier
propagates
scales;
Part
II.
Suslin
Cardinals,
Partition
Properties,
Homogeneity:
Introduction
to
Part
II;
12.
Suslin
cardinals,
$\kappa$-Suslin
sets,
and
the
scale
property
in
the
hyperprojective
hierarchy;
13.
The
axiom
of
determinacy,
strong
partition
properties,
and
nonsingular
measures;
14.
The
equivalence
of
partition
properties
and
determinacy;
15.
Generic
codes
for
uncountable
ordinals,
partition
properties,
and
elementary
embeddings;
16.
A
coding
theorem
for
measures;
17.
The
tree
of
a
Moschovakis
scale
is
homogeneous;
18.
Weakly
homogeneous
trees;
Bibliography;
Volume
II:
Part
III.
Wadge
Degrees
and
Pointclasses:
Introduction
to
Part
III;
19.
Wadge
degrees
and
descriptive
set
theory;
20.
A
note
on
Wadge
degrees;
21.
Some
results
in
the
Wadge
hierarchy
of
Borel
sets;
22.
The
strength
of
Borel
Wadge
determinacy;
23.
Closure
properties
of
pointclasses;
24.
The
axiom
of
determinacy
and
the
prewellordering
property;
25.
Pointclasses
and
wellordered
unions;
26.
More
closure
properties
of
pointclasses;
27.
More
measures
from
AD;
28.
Early
investigations
of
the
degress
of
Borel
sets;
Part
IV.
Projective
Ordinals:
Introduction
to
Part
IV;
29.
Homogeneous
trees
and
projective
scales;
30.
AD
and
projective
ordinals;
31.
A
$\Delta_3^1$
coding
of
the
subsets
of
$\omega_\omega$;
32.
AD
and
projective
ordinals;
33.
Projective
sets
and
cardinal
numbers:
some
questions
related
to
the
continuum
problem;
34.
Regular
cardinals
without
the
weak
partition
property;
Bibliography;
Volume
III:
Part
V.
HOD
and
its
Local
Versions:
Ordinal
Definability
in
Models
of
Determinacy:
Introduction
to
Part
V;
35.
Partially
playful
universes;
36.
Ordinal
games
and
playful
models;
37.
Measurable
cardinals
in
playful
models;
38.
Introduction
to
Q-theory;
39.
On
the
theory
of
$\prod_3^1$
sets
of
reals,
II;
40.
An
inner
models
proof
of
the
Kechris–Martin
theorem;
41.
A
theorem
of
Woodin
on
mouse
sets;
42.
HOD
as
a
core
model;
Part
VI.
Recursion
Theory:
Recursion
Theoretic
Papers:
Introduction
to
Part
VI;
43.
On
recursion
in
E
and
semi-Spector
classes;
44.
On
Spector
classes;
45.
Trees
and
degrees;
46.
Definable
functions
on
degrees;
47.
$\prod_2^1$
monotone
inductive
definitions;
48.
Martin's
conjecture,
arithmetic
equivalence,
and
countable
Borel
equivalence
relations;
Bibliography;
Volume
IV:
Part
VII.
Extensions
of
AD,
Models
with
Choice:
A
Brief
History
of
Determinacy;
49.
'AD
plus
uniformization'
is
equivalent
to
'half
$AD_\mathbb{R}$';
50.
The
independence
of
DC
from
AD;
51.
Games
of
countable
length;
52.
Some
consistency
results
in
ZFC
using
AD;
53.
Subsets
of
$\aleph_1$
constructible
from
a
real;
54.
AD
and
the
uniqueness
of
the
supercompact
measures
on
$\wp_{\omega_1}(\lambda)$;
55.
The
extender
algebra
and
$\sum_1^2$-absoluteness;
Part
VIII.
Other
Topics:
56.
On
Vaught's
conjecture;
57.
Capacities
and
analytic
sets;
58.
More
saturated
ideals;
59.
The
fourteen
Victoria
Delfino
problems
and
their
status
in
the
year
2020;
Bibliography.
Descriere
A
collection
of
four
books
presenting
the
seminal
papers
from
the
Caltech-UCLA
'Cabal
Seminar'.