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Title (deu)
Squares, scales and lines
Speaker / Lecturer
James Cummings
Carnegie Mellon U, Pittsburgh
Description (deu)
Todorcevic showed that if kappa is singular of cofinality omega and square_kappa holds then there is a linear order of cardinality kappa^+ which is not sigma-scattered while all of its small suborders are sigma-wellordered. I will discuss how to get the same result from some pcf-theoretic principles, which follow both from weaker forms of square and from certain failures of SCH. If time allows I will discuss some related problems.
Keywords (deu)
DeterminacyInner ModelsForcing Axioms
Subject (eng)
ÖFOS 2012 -- 101 -- Mathematics
Type (eng)
lecture
Language
English [eng]
Persistent identifier
https://phaidra.univie.ac.at/o:2075456
Project
Title (deu)
Determinacy, Inner Models and Forcing Axioms
Project description (eng)
Workshop
Start date
2024-06-24
End date
2024-06-28
Project homepage
https://www.esi.ac.at/events/e536/
Date created
2024-06-27
Place of creation (eng)
ESI
Duration
47 minutes 23 seconds
Association (eng)
Research Platform Erwin Schrödinger International Institute for Mathematical Physics (ESI)
License
All rights reserved