Towards the right generalization of descriptive set theory to uncountable cardinals | Vidéo | Carmin.tv

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Towards the right generalization of descriptive set theory to uncountable cardinals

By Luca Motto Ros

Appears in collection : 15th International Luminy Workshop in Set Theory / XVe Atelier international de théorie des ensembles

Generalized descriptive set theory has mostly been developed for uncountable cardinals satisfying the condition $\kappa ^{< \kappa }=\kappa$ (thus in particular for $\kappa$ regular). More recently the case of uncountable cardinals of countable cofinality has attracted some attention, partially because of its connections with very large cardinal axioms like I0. In this talk I will survey these recent developments and propose a unified approach which potentially could encompass all possible scenarios (including singular cardinals of arbitrary cofinality).

Information about the video

Date of recording 25/09/2019
Date of publication 14/10/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.19564203
Cite this video Motto Ros, Luca (25/09/2019). Towards the right generalization of descriptive set theory to uncountable cardinals. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19564203
URL https://dx.doi.org/10.24350/CIRM.V.19564203

Domain(s)

Logic

Bibliography

KECHRIS, Alexander. Classical descriptive set theory. Graduate texts in mathematics 156, 2012.
STONE, Arthur Harold. Non-separable Borel sets. General Topology and its Relations to Modern Analysis and Algebra, 1962, p. [341]-342. - https://dml.cz/bitstream/handle/10338.dmlcz/700949/Toposym_01-1961-1_84.pdf
WOODIN, W. Hugh. Suitable extender models II: beyond ω-huge. Journal of Mathematical Logic, 2011, vol. 11, no 02, p. 115-436. - https://doi.org/10.1142/S021906131100102X

MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/2052/Slides/Motto-Ross-190926Luminy_handout.pdf

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