Author(s): R.B. Jensen, A. Prestel
Series: Lecture Notes in Mathematics, Vol. 872
Edition: 1981
Publisher: Springer
Year: 1981
Language: English
Pages: 178
Foreword......Page 3
Contents......Page 4
Morass-Like Constructions of א_2-Trees in L - Devlin......Page 5
1. Preliminaries......Page 6
2. Some Morass Theory......Page 8
3. A New Construction of a Souslin א_2-Tree......Page 23
4. A New Construction of a Kurepa א_2-Tree......Page 31
References......Page 40
Coarse Morasses in L - Donder......Page 41
1. Coarse gap-1 morasses......Page 42
2. The global coarse morass in L......Page 50
References......Page 58
Some Applications of the Core Model - Donder, Jensen, Koppelberg......Page 59
1. Partition cardinals in K......Page 62
2. Regularity and normality of ultrafilters......Page 71
3. Σ^1_3-absoluteness......Page 84
4. Decomposability of ultrafilters......Page 93
References......Page 101
A Lattice Structure on the Isomorphism Types of Complete Boolean Algebras - Koppelberg......Page 102
1. Decomposition of R(B) and T(B) into Products......Page 105
2. The lattice structure of T(B)......Page 112
3. Weakly homegeneous CBA's......Page 119
4. Some applications of Theorem C......Page 125
References......Page 129
Pseudo Real Closed Fields - Prestel......Page 131
0. Preliminaries......Page 133
1. Pseudo real closed fields......Page 137
2. The elementary theory of prc-fields with n orderings......Page 144
3. Algebraic extensions......Page 152
4. The class of prc-fields is elementary......Page 157
References......Page 160
1. Introduction......Page 161
2. Basic results on the existence of Σ_0-indiscernables......Page 164
3. Independence of the strengthened finite Ramsey theorem and applications of its proof......Page 168
4. Generalizations of α applying to higher prefixes......Page 175
References......Page 178
