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Condensation and large cardinals

Authors: Friedman, Sy-David; Holy, Peter;

Condensation and large cardinals

Abstract

Wir definieren lokale Clubmengenkondensation (Local Club Condensation), ein Prinzip, welches Eigenschaften von Godels Kondensationsprinzip isoliert und verallgemeinert. Wir zeigen, dass wir uber einem beliebigen Modell der Mengenlehre durch die Erzwingungsmethode zu einem Modell der Mengenlehre gelangen konnen, welches lokale Clubmengenkondensation erfullt und zugleich verschiedene grosse Kardinalzahlen erhalten werden konnen; insbesondere zeigen wir, dass lokale Clubmengenkondensation mit der Existenz einer omega-superstarken Kardinalzahl konsistent ist. Wir gehen ahnlich fur Acceptability vor, ein weiteres Prinzip welches Aspekte von Godels Kondensationsprinzip isoliert und verallgemeinert. Dies setzt das Outer Model Program (zu deutsch Programm der ausseren Modelle) von Sy Friedman fort. Wir fuhren auch eine mogliche Zukunftsanwendung in Bezug auf das Proper Forcing Axiom PFA oben beschriebener Ergebnisse am Ende der Arbeit auf.

Country
Austria
Related Organizations
Keywords

101013 Mathematical logic, 101013 Mathematische Logik

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Powered by OpenAIRE graph
Found an issue? Give us feedback
citations
The total number of citations received by all articles of the researcher of interest.
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
15
Average
Top 10%
Average
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