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Reflection of clubs, and forcing principles at $\aleph_2$
Multi angle
Authors : Neeman, Itay (Author of the conference)
CIRM (Publisher )
03E05 - Combinatorial set theory (logic)
03E35 - Consistency and independence results
03E50 - Continuum hypothesis and Martin's axiom, See also {04A30, 54A25}
03E55 - Large cardinals
03E57 - Generic absoluteness and forcing axioms
CIRM (Publisher )
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Abstract :
In 1971 Baumgartner showed it is consistent that any two $\aleph_1$-dense subsets of the real line are order isomorphic. This was important both for the methods of the proof and for consequences of the result. We introduce methods that lead to an analogous result for $\aleph_2$-dense sets.
Keywords : forcing - large cardinals - Baumgartner isomorphism - infinitary Ramsey principles - reflection principles
MSC Codes : Keywords : forcing - large cardinals - Baumgartner isomorphism - infinitary Ramsey principles - reflection principles
03E05 - Combinatorial set theory (logic)
03E35 - Consistency and independence results
03E50 - Continuum hypothesis and Martin's axiom, See also {04A30, 54A25}
03E55 - Large cardinals
03E57 - Generic absoluteness and forcing axioms
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 07/10/14 Conference Date : 30/09/14 Subseries : Research talks arXiv category : Logic in Computer Science Mathematical Area(s) : Logic and Foundations Format : MP4 (.mp4) - HD Video Time : 00:58:32 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2014-09-30_Neeman.mp4 
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Information on the Event
Event Title : 13th International workshop in set theory / 13ème Atelier international de théorie des ensembles Event Organizers : Louveau, Alain ; Magidor, Menachem ; Velickovic, Boban Dates : 29/09/14 - 03/10/14 Event Year : 2014
Citation Data
DOI : 10.24350/CIRM.V.18603903Cite this video as: Neeman, Itay (2014). Reflection of clubs, and forcing principles at $\aleph_2$. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18603903 URI : http://dx.doi.org/10.24350/CIRM.V.18603903 |
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