Ebook: Aspects of Constructibility

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Content:
Front Matter....Pages -
Zermelo-Fraenkel set theory....Pages 1-23
The constructible universe....Pages 24-28
The axiom of constructibility, the condensation lemma, and the consistency of the generalised continuum hypothesis....Pages 29-42
The Souslin hypothesis....Pages 43-52
The Kurepa hypothesis....Pages 53-58
Constructibility and the continuum....Pages 59-72
The Jensen hierarchy of constructible sets....Pages 73-85
The fine structure of the Jensen hierarchy....Pages 86-103
The combinatorial principles {ie104-1}....Pages 104-114
The generalised Souslin hypothesis for successor cardinals....Pages 115-118
Ineffable cardinals and the generalised Kurepa hypothesis....Pages 119-129
Weakly compact cardinals and the generalised Souslin hypothesis....Pages 130-137
The Gap-1 two cardinals theorem....Pages 138-144
Gap-1 morasses....Pages 145-170
The gap-2 two cardinals theorem. (Jensen)....Pages 171-182
Small large cardinals....Pages 183-185
Medium large cardinals....Pages 186-187
Large large cardinals....Pages 188-205
Relative constructibility....Pages 206-213
The inner model L[?]....Pages 214-228
Back Matter....Pages -
Strongly compact cardinals and relative constructibility....Pages 229-234

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Content:
Front Matter....Pages -
Zermelo-Fraenkel set theory....Pages 1-23
The constructible universe....Pages 24-28
The axiom of constructibility, the condensation lemma, and the consistency of the generalised continuum hypothesis....Pages 29-42
The Souslin hypothesis....Pages 43-52
The Kurepa hypothesis....Pages 53-58
Constructibility and the continuum....Pages 59-72
The Jensen hierarchy of constructible sets....Pages 73-85
The fine structure of the Jensen hierarchy....Pages 86-103
The combinatorial principles {ie104-1}....Pages 104-114
The generalised Souslin hypothesis for successor cardinals....Pages 115-118
Ineffable cardinals and the generalised Kurepa hypothesis....Pages 119-129
Weakly compact cardinals and the generalised Souslin hypothesis....Pages 130-137
The Gap-1 two cardinals theorem....Pages 138-144
Gap-1 morasses....Pages 145-170
The gap-2 two cardinals theorem. (Jensen)....Pages 171-182
Small large cardinals....Pages 183-185
Medium large cardinals....Pages 186-187
Large large cardinals....Pages 188-205
Relative constructibility....Pages 206-213
The inner model L[?]....Pages 214-228
Back Matter....Pages -
Strongly compact cardinals and relative constructibility....Pages 229-234
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